{"id":1398,"date":"2025-09-25T16:15:46","date_gmt":"2025-09-25T16:15:46","guid":{"rendered":"https:\/\/www.mathros.net.ua\/ru\/?page_id=1398"},"modified":"2025-09-26T13:15:34","modified_gmt":"2025-09-26T13:15:34","slug":"metod-romberga-onlajn","status":"publish","type":"page","link":"https:\/\/www.mathros.net.ua\/ru\/metod-romberga-onlajn","title":{"rendered":"\u041c\u0435\u0442\u043e\u0434 \u0420\u043e\u043c\u0431\u0435\u0440\u0433\u0430 \u041e\u043d\u043b\u0430\u0439\u043d \u041a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"1398\" class=\"elementor elementor-1398\">\n\t\t\t\t<div class=\"elementor-element elementor-element-32369c8 e-flex e-con-boxed e-con e-parent\" data-id=\"32369c8\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-f37665d elementor-widget elementor-widget-html\" data-id=\"f37665d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"h2-title\">\u0425\u043e\u0442\u0438\u0442\u0435 \u0411\u044b\u0441\u0442\u0440\u043e \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0451\u043d\u043d\u044b\u0439 \u0418\u043d\u0442\u0435\u0433\u0440\u0430\u043b \u0434\u043b\u044f \u0423\u0447\u0451\u0431\u044b \u0438\u043b\u0438 \u0420\u0430\u0431\u043e\u0442\u044b? \u041f\u043e\u043f\u0440\u043e\u0431\u0443\u0439\u0442\u0435 \u041d\u0430\u0448 \u041e\u043d\u043b\u0430\u0439\u043d \u041a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440 \u041f\u0440\u044f\u043c\u043e \u0421\u0435\u0439\u0447\u0430\u0441!<\/h2>\n<style>\n    .h2-title {\n        text-align: center; \/* \u0412\u0438\u0440\u0456\u0432\u043d\u044e\u0432\u0430\u043d\u043d\u044f \u043f\u043e \u0446\u0435\u043d\u0442\u0440\u0443 *\/\n        color: gray;\n        font-size: 22px;\n    }\n<\/style>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-fdb8892 elementor-widget elementor-widget-html\" data-id=\"fdb8892\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<script type=\"text\/javascript\" async src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjax\/2.7.7\/MathJax.js?config=TeX-MML-AM_CHTML\"><\/script>\n<link rel=\"stylesheet\" href=\"mathquill\/lib\/mathquill.css\">\n<script src=\"mathquill\/lib\/jquery.min.js\"><\/script>\n<script src=\"mathquill\/lib\/mathquill.min.js\"><\/script>\n<script src=\"https:\/\/d3js.org\/d3.v7.min.js\"><\/script> <!-- D3.js library -->\n  \n<div class=\"calculator-container\">\n    <div class=\"equation-container\">\n        <label for=\"inputField\">\u041f\u043e\u0434\u044b\u043d\u0442\u0435\u0433\u0440\u0430\u043b\u044c\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f (\u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, <i>\"x^2\"<\/i>, <i>\"sin(x)\"<\/i>, <i>\"exp(x)\"<\/i>)<\/label>\n        <hr>\n        <div class=\"calcKeypad\">\n            <button class=\"padBtn\" onclick=\"addSymbol('x^n')\">x^n<\/button>\n            <button class=\"padBtn\" onclick=\"addSymbol('\\\\sqrt{}')\">\u221ax<\/button>\n            <button class=\"padBtn\" onclick=\"addSymbol('\\\\cdot')\">\u00b7<\/button>\n            <button class=\"padBtn\" onclick=\"addSymbol('\\\\frac{}{}')\">x\/y<\/button>\n             <button class=\"padBtn\" onclick=\"addSymbol('\\\\exp()')\">exp<\/button>\n            <button class=\"padBtn\" onclick=\"addSymbol('\\\\sin()')\">sin<\/button>\n            <button class=\"padBtn\" onclick=\"addSymbol('\\\\cos()')\">cos<\/button>\n            <button class=\"padBtn\" onclick=\"addSymbol('\\\\tan()')\">tan<\/button>\n            <button class=\"padBtn\" onclick=\"addSymbol('\\\\log()')\">log<\/button>\n        <\/div>\n        <span id=\"inputField\" contenteditable=\"true\" class=\"math-input\"><\/span>\n    <\/div>\n    \n    \n    \n    <div class=\"parameter-container\">\n        <!--<input type=\"text\" id=\"function\" name=\"function\" required \/>-->\n        <label for=\"lower_limit\">\u041d\u0438\u0436\u043d\u0438\u0439 \u043f\u0440\u0435\u0434\u0435\u043b \u0438\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f<\/label>\n        <input type=\"number\" id=\"lower_limit\" name=\"lower_limit\" required \/>\n        <label for=\"upper_limit\">\u0412\u0435\u0440\u0445\u043d\u0438\u0439 \u043f\u0440\u0435\u0434\u0435\u043b \u0438\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f<\/label>\n        <input type=\"number\" id=\"upper_limit\" name=\"upper_limit\" required \/>\n        <label for=\"num_partitions\">\u041d\u0430\u0447\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0437\u0431\u0438\u0435\u043d\u0438\u0435 (\u0447\u0438\u0441\u043b\u043e \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u043e\u0432)<\/label>\n        <input type=\"number\" id=\"num_partitions\" name=\"num_partitions\" required>\n        <label for=\"num_partitions\">\u0422\u043e\u0447\u043d\u043e\u0441\u0442\u044c \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0439 (\u03b5)<\/label>\n        <select id=\"epsilon\" name=\"epsilon\">\n            <option selected value=\"0.1\">0.1<\/option>\n            <option value=\"0.01\">0.01<\/option>\n            <option value=\"0.001\">0.001<\/option>\n            <option value=\"0.0001\">0.0001<\/option>\n            <option value=\"0.00001\">0.00001<\/option>\n            <option value=\"0.000001\">0.000001<\/option>\n        <\/select>\n    <\/div>\n    <input type=\"button\" id=\"generate-button\" name=\"integral\"  value=\"\u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c\" onclick=\"calculateIntegral()\" \/>\n    <div id=\"info-block\" class=\"info-message\">\n        \u0414\u043b\u044f \u043d\u0430\u0447\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0437\u0431\u0438\u0435\u043d\u0438\u044f \u0447\u0430\u0449\u0435 \u0432\u0441\u0435\u0433\u043e \u0432\u044b\u0431\u0438\u0440\u0430\u044e\u0442 <em>2<\/em> \u0438\u043b\u0438 <em>4<\/em> \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0430 - \u0442\u0430\u043a\u043e\u0439 \u043f\u043e\u0434\u0445\u043e\u0434 \u0434\u0430\u0435\u0442 \u043d\u0430\u0433\u043b\u044f\u0434\u043d\u043e\u0435 \u0438 \u0431\u043e\u043b\u0435\u0435 \u0442\u043e\u0447\u043d\u043e\u0435 \u0441\u0442\u0430\u0440\u0442\u043e\u0432\u043e\u0435 \u043f\u0440\u0438\u0431\u043b\u0438\u0436\u0435\u043d\u0438\u0435, \u043e\u0441\u043e\u0431\u0435\u043d\u043d\u043e \u043a\u043e\u0433\u0434\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \u043d\u0435\u0440\u0430\u0432\u043d\u043e\u043c\u0435\u0440\u043d\u043e.\n    <\/div>\n<\/div>\n<div id=\"calculation-results\" style=\"display: none;\">\n        \n    <div id=\"fcontainer\" class=\"solution-container\"><\/div>\n<\/div>\n<div id=\"error-block\" class=\"error-message\"><\/div>\n<div id=\"loading\" class=\"loader\" style=\"display: none;\"><\/div>\n\n<style>\n    \/* \u0417\u0430\u0433\u0430\u043b\u044c\u043d\u0456 \u0441\u0442\u0438\u043b\u0456 \u0434\u043b\u044f \u0441\u0442\u043e\u0440\u0456\u043d\u043a\u0438 *\/\n    body {\n        font-family: 'Arial', sans-serif;\n        margin: 0;\n        padding: 0;\n        background-color: #f4f4f4;\n    }\n    \n    .info-message {\n        background-color: #eaf6ff; \/* \u0421\u0432\u0456\u0442\u043b\u043e-\u0431\u043b\u0430\u043a\u0438\u0442\u043d\u0438\u0439 \u0444\u043e\u043d \u0434\u043b\u044f \u0432\u0438\u0434\u0456\u043b\u0435\u043d\u043d\u044f *\/\n        color: #0b638b; \/* \u0422\u0435\u043c\u043d\u043e-\u0441\u0438\u043d\u0456\u0439 \u0442\u0435\u043a\u0441\u0442 *\/\n        border-left: 4px solid #0b638b; \/* \u0412\u0438\u0434\u0456\u043b\u0435\u043d\u043d\u044f \u0437\u043b\u0456\u0432\u0430 \u0434\u043b\u044f \u0430\u043a\u0446\u0435\u043d\u0442\u0443 *\/\n        padding: 15px; \/* \u0412\u043d\u0443\u0442\u0440\u0456\u0448\u043d\u0456 \u0432\u0456\u0434\u0441\u0442\u0443\u043f\u0438 *\/\n        margin-bottom: 15px; \/* \u0412\u0456\u0434\u0441\u0442\u0443\u043f \u0437\u043d\u0438\u0437\u0443 *\/\n        border-radius: 5px; \/* \u0417\u0430\u043e\u043a\u0440\u0443\u0433\u043b\u0435\u043d\u0456 \u043a\u0443\u0442\u0438 *\/\n        font-family: 'Arial', sans-serif; \/* \u0417\u0440\u0443\u0447\u043d\u0438\u0439 \u0434\u043b\u044f \u0447\u0438\u0442\u0430\u043d\u043d\u044f \u0448\u0440\u0438\u0444\u0442 *\/\n        font-size: 14px; \/* \u041e\u043f\u0442\u0438\u043c\u0430\u043b\u044c\u043d\u0438\u0439 \u0440\u043e\u0437\u043c\u0456\u0440 \u0442\u0435\u043a\u0441\u0442\u0443 *\/\n        line-height: 1.5; \/* \u041a\u043e\u043c\u0444\u043e\u0440\u0442\u043d\u0438\u0439 \u043c\u0456\u0436\u0440\u044f\u0434\u043a\u043e\u0432\u0438\u0439 \u0456\u043d\u0442\u0435\u0440\u0432\u0430\u043b *\/\n        text-align: left; \/* \u0412\u0438\u0440\u0456\u0432\u043d\u044e\u0432\u0430\u043d\u043d\u044f \u043f\u043e \u043b\u0456\u0432\u043e\u043c\u0443 \u043a\u0440\u0430\u044e *\/\n    }\n    \n    \/* \u041e\u0441\u043d\u043e\u0432\u043d\u0438\u0439 \u043a\u043e\u043d\u0442\u0435\u0439\u043d\u0435\u0440 \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440\u0430 *\/\n    .calculator-container {\n        max-width: 600px;\n        margin: 0 auto;\n        padding: 20px;\n        text-align: center;\n    }\n    \n    \/* \u041a\u043e\u043d\u0442\u0435\u0439\u043d\u0435\u0440 \u0434\u043b\u044f \u0432\u0432\u0435\u0434\u0435\u043d\u043d\u044f \u0440\u0456\u0432\u043d\u044f\u043d\u044c *\/\n    .equation-container {\n        background-color: #0B638B;\n        padding: 20px;\n        border-radius: 8px;\n        margin-bottom: 20px;\n        color: #fff;\n    }\n    \n    \/* \u041a\u043e\u043d\u0442\u0435\u0439\u043d\u0435\u0440 \u0434\u043b\u044f \u0432\u0432\u0435\u0434\u0435\u043d\u043d\u044f \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0456\u0432 *\/\n    .parameter-container {\n        background-color: white;\n        padding-left: 20px;\n        padding-right: 20px;\n        border-radius: 8px;\n        margin-bottom: 20px;\n        color: #fff;\n    }\n    \n    \/* \u0421\u0442\u0438\u043b\u044c \u0437\u0430\u0433\u043e\u043b\u043e\u0432\u043a\u0456\u0432 \u0442\u0430 \u043c\u0456\u0442\u043e\u043a *\/\n    label {\n        display: block;\n        margin-bottom: 8px;\n        font-size: 16px;\n        color: #555;\n        font-weight: 600;\n        text-align: left;\n    }\n    \n    .equation-container label {\n        color: #fff;\n        font-weight: bold;\n    }\n    \n    \/* \u041f\u043e\u043b\u044f \u0434\u043b\u044f \u0432\u0432\u0435\u0434\u0435\u043d\u043d\u044f \u0440\u0456\u0432\u043d\u044f\u043d\u044c *\/\n    .math-input {\n        display: block;\n        width: 100%;\n        min-height: 40px;\n        padding: 10px;\n        border: none;\n        border-radius: 6px;\n        background: #fff;\n        font-size: 16px;\n        text-align: left;\n        color: #333;\n        cursor: text;\n    }\n    \n    \/* \u0413\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u0430 \u043b\u0456\u043d\u0456\u044f *\/\n    .equation-container hr {\n        border: none;\n        height: 1px;\n        background: linear-gradient(to right, rgba(255, 255, 255, 0.8), rgba(255, 255, 255, 0.2));\n        margin-bottom: 15px;\n    }\n    \n    \/* \u041f\u043e\u043b\u044f \u0432\u0432\u043e\u0434\u0443 \u0442\u0430 \u0432\u0438\u043f\u0430\u0434\u0430\u044e\u0447\u0438\u0439 \u0441\u043f\u0438\u0441\u043e\u043a *\/\n    input, select {\n        width: 100%;\n        padding: 10px;\n        margin: 7px 0;\n        border: 1px solid #ddd;\n        border-radius: 5px;\n        font-size: 16px;\n    }\n    \n    \/* \u041a\u043b\u0430\u0432\u0456\u0430\u0442\u0443\u0440\u0430 \u0437 \u043a\u043d\u043e\u043f\u043a\u0430\u043c\u0438 *\/\n    .calcKeypad {\n        display: flex;\n        flex-wrap: wrap;\n        justify-content: center;\n        gap: 5px;\n        margin: 15px 0;\n    }\n    \n    .padBtn {\n        padding: 10px;\n        background-color: rgba(255, 255, 255, 0.2);\n        color: #fff;\n        border-radius: 5px;\n        font-size: 14px;\n        cursor: pointer;\n        transition: all 0.3s ease;\n        border: none;\n    }\n    \n    .padBtn:hover {\n        background-color: rgba(255, 255, 255, 0.4);\n    }\n    \n    \/* \u041a\u043d\u043e\u043f\u043a\u0430 \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044f *\/\n    #generate-button {\n        width: 100%;\n        padding: 12px;\n        background-color: #0B638B;\n        color: white;\n        border: none;\n        border-radius: 5px;\n        font-size: 16px;\n        cursor: pointer;\n        margin-top: 10px;\n        transition: background-color 0.3s ease;\n    }\n    \n    #generate-button:hover {\n        background-color: #065a71;\n    }\n    \n    \/* \u041a\u043e\u043d\u0442\u0435\u0439\u043d\u0435\u0440 \u0434\u043b\u044f \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0456\u0432 *\/\n    .solution-container {\n        background-color: #ffffff;\n        padding: 20px;\n        margin-top: 15px;\n        margin-bottom: 15px;\n        font-size: 16px;\n        color: #333;\n        line-height: 1.6;\n        max-width: 800px;\n        margin-left: auto;\n        margin-right: auto;\n        overflow-x: auto;\n    }\n    \n    \/* \u0410\u043d\u0456\u043c\u0430\u0446\u0456\u044f \u0437\u0430\u0432\u0430\u043d\u0442\u0430\u0436\u0435\u043d\u043d\u044f *\/\n    .loader {\n        display: block;\n        margin: 20px auto;\n        border: 8px solid #f3f3f3;\n        border-top: 8px solid #0B638B;\n        border-radius: 50%;\n        width: 75px;\n        height: 75px;\n        animation: spin 1s linear infinite;\n    }\n    \n    @keyframes spin {\n        0% { transform: rotate(0deg); }\n        100% { transform: rotate(360deg); }\n    }\n    \n    \/* \u041f\u043e\u0432\u0456\u0434\u043e\u043c\u043b\u0435\u043d\u043d\u044f \u043f\u0440\u043e \u043f\u043e\u043c\u0438\u043b\u043a\u0443 *\/\n    .error-message {\n        background-color: #fdecea;\n        color: #b71c1c;\n        border-left: 4px solid #b71c1c;\n        border-radius: 5px;\n        padding: 15px;\n        margin-top: 10px;\n        font-size: 16px;\n        display: none;\n    }\n    \n    .error-message.show {\n        display: block;\n        animation: fadeIn 0.5s ease-in-out;\n    }\n    \n    \/* \u0410\u0434\u0430\u043f\u0442\u0430\u0446\u0456\u044f \u0434\u043b\u044f \u043c\u043e\u0431\u0456\u043b\u044c\u043d\u0438\u0445 \u043f\u0440\u0438\u0441\u0442\u0440\u043e\u0457\u0432 *\/\n    @media (max-width: 768px) {\n        .calculator-container {\n            padding: 15px;\n        }\n    \n        .padBtn {\n            font-size: 12px;\n        }\n    \n        #generate-button {\n            font-size: 12px;\n        }\n        \n        .formula {\n            font-size: 14px;\n            padding: 4px;\n        }\n    }\n    \n    @media (max-width: 480px) {\n        .calcKeypad {\n            flex-wrap: wrap;\n        }\n    \n        .padBtn {\n            max-width: 48%;\n            margin-bottom: 5px;\n            font-size: 10px;\n        }\n    \n        input, select {\n            font-size: 14px;\n        }\n    \n        #generate-button {\n            font-size: 10px;\n        }\n        \n        .formula {\n            font-size: 12px;\n            padding: 3px;\n        }\n    }\n    \/* \u0421\u0442\u0438\u043b\u044c \u0434\u043b\u044f SVG-\u0433\u0440\u0430\u0444\u0456\u043a\u0430 *\/\n    #graph-svg {\n        width: 100%;\n        max-width: 700px;\n        height: auto;\n        display: block;\n        margin: 50px 0px auto;\n        background-color: #ffffff;\n    }\n    \n    .formula {\n        font-family: 'STIX Two Math', serif; \/* \u0428\u0440\u0438\u0444\u0442 \u0434\u043b\u044f \u0444\u043e\u0440\u043c\u0443\u043b *\/\n        background-color: #ffffff; \/* \u0411\u0456\u043b\u0438\u0439 \u0444\u043e\u043d *\/\n        padding: 5px; \/* \u0412\u043d\u0443\u0442\u0440\u0456\u0448\u043d\u0456\u0439 \u0432\u0456\u0434\u0441\u0442\u0443\u043f *\/\n        margin-bottom: 5px; \/* \u0412\u0456\u0434\u0441\u0442\u0443\u043f \u043c\u0456\u0436 \u0444\u043e\u0440\u043c\u0443\u043b\u0430\u043c\u0438 *\/\n        overflow-x: auto; \/* \u0413\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u0430 \u043f\u0440\u043e\u043a\u0440\u0443\u0442\u043a\u0430 \u0434\u043b\u044f \u0432\u0435\u043b\u0438\u043a\u0438\u0445 \u0444\u043e\u0440\u043c\u0443\u043b *\/\n        font-size: 16px;\n    }\n    \n    \/* \u0421\u0442\u0438\u043b\u0456 \u0434\u043b\u044f \u0442\u0430\u0431\u043b\u0438\u0446\u0456 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0456\u0432 *\/\n    .result-table {\n        width: 100%;\n        border-collapse: collapse;\n        margin-top: 20px;\n        font-family: Arial, sans-serif;\n    }\n    \n    .result-table thead {\n        background-color: #0B638B;\n        color: white;\n    }\n    \n    .result-table th, .result-table td {\n        border: 1px solid #ddd;\n        padding: 3px;\n        text-align: center;\n        font-size: 14px;\n    }\n    \n    .result-table tbody tr:nth-child(even) {\n        background-color: #f2f8fc;\n    }\n    \n    .result-table tbody tr:nth-child(odd) {\n        background-color: white;\n    }\n    \n    .result-table tbody tr:hover {\n        background-color: #cce7f5;\n        transition: 0.3s ease-in-out;\n    }\n    \n    \/* \u0410\u0434\u0430\u043f\u0442\u0438\u0432\u043d\u0456 \u0441\u0442\u0438\u043b\u0456 \u0434\u043b\u044f \u043c\u043e\u0431\u0456\u043b\u044c\u043d\u0438\u0445 \u043f\u0440\u0438\u0441\u0442\u0440\u043e\u0457\u0432 *\/\n    @media (max-width: 768px) {\n        .result-table {\n            font-size: 12px;\n        }\n    \n        .result-table th, .result-table td {\n            padding: 5px;\n            font-size: 12px;\n        }\n        .formula {\n            font-size: 12px;\n            padding: 3px; \/* \u0412\u043d\u0443\u0442\u0440\u0456\u0448\u043d\u0456\u0439 \u0432\u0456\u0434\u0441\u0442\u0443\u043f *\/\n            margin-bottom: 3px; \/* \u0412\u0456\u0434\u0441\u0442\u0443\u043f \u043c\u0456\u0436 \u0444\u043e\u0440\u043c\u0443\u043b\u0430\u043c\u0438 *\/\n        }\n        .solution-container h2 {\n            font-size: 24px; \/* \u041c\u0435\u043d\u0448\u0438\u0439 \u0440\u043e\u0437\u043c\u0456\u0440 \u0434\u043b\u044f \u043f\u043b\u0430\u043d\u0448\u0435\u0442\u0456\u0432 *\/\n        }\n        .solution-container h3 {\n            font-size: 20px; \/* \u041c\u0435\u043d\u0448\u0438\u0439 \u0440\u043e\u0437\u043c\u0456\u0440 \u0434\u043b\u044f \u043f\u043b\u0430\u043d\u0448\u0435\u0442\u0456\u0432 *\/\n        }\n        .solution-container {\n            font-size: 14px; \/* \u0417\u043c\u0435\u043d\u0448\u0435\u043d\u043d\u044f \u0440\u043e\u0437\u043c\u0456\u0440\u0443 \u0442\u0435\u043a\u0441\u0442\u0443 \u0434\u043b\u044f \u043f\u043b\u0430\u043d\u0448\u0435\u0442\u0456\u0432 *\/\n        }\n    }\n    \n    @media (max-width: 480px) {\n        .result-table {\n            font-size: 8px;\n        }\n    \n        .result-table th, .result-table td {\n            padding: 1px;\n            font-size: 8px;\n        }\n        .formula {\n            font-size: 8px;\n            padding: 1px; \/* \u0412\u043d\u0443\u0442\u0440\u0456\u0448\u043d\u0456\u0439 \u0432\u0456\u0434\u0441\u0442\u0443\u043f *\/\n            margin-bottom: 1px; \/* \u0412\u0456\u0434\u0441\u0442\u0443\u043f \u043c\u0456\u0436 \u0444\u043e\u0440\u043c\u0443\u043b\u0430\u043c\u0438 *\/\n        }\n        .solution-container h2 {\n            font-size: 20px; \/* \u041c\u0435\u043d\u0448\u0438\u0439 \u0440\u043e\u0437\u043c\u0456\u0440 \u0434\u043b\u044f \u043f\u043b\u0430\u043d\u0448\u0435\u0442\u0456\u0432 *\/\n        }\n        .solution-container h3 {\n            font-size: 16px; \/* \u041c\u0435\u043d\u0448\u0438\u0439 \u0440\u043e\u0437\u043c\u0456\u0440 \u0434\u043b\u044f \u043f\u043b\u0430\u043d\u0448\u0435\u0442\u0456\u0432 *\/\n        }\n        .solution-container {\n            font-size: 13px; \/* \u0417\u043c\u0435\u043d\u0448\u0435\u043d\u043d\u044f \u0440\u043e\u0437\u043c\u0456\u0440\u0443 \u0442\u0435\u043a\u0441\u0442\u0443 \u0434\u043b\u044f \u043f\u043b\u0430\u043d\u0448\u0435\u0442\u0456\u0432 *\/\n        }\n    }\n<\/style>\n\n<script>\n    const MQ = MathQuill.getInterface(2);\n    const inputSpan = document.getElementById('inputField');\n    let answerMathField = MQ.MathField(inputSpan, {\n      spaceBehavesLikeTab: true,\n      handlers: {\n        edit: function() {\n          answerMathField.focus();\n        }\n      }\n    });\n\n    function addSymbol(symbol) {\n      answerMathField.write(symbol);\n      answerMathField.focus();\n    }\n\n    \/\/ \u041f\u0440\u0438 \u0432\u0456\u0434\u043f\u0440\u0430\u0432\u0446\u0456 \u0444\u043e\u0440\u043c\u0438, \u0437\u0430\u043f\u0438\u0441\u0443\u0454\u043c\u043e \u0432\u043c\u0456\u0441\u0442 MathField \u0443 \u0432\u0456\u0434\u043f\u043e\u0432\u0456\u0434\u043d\u0435 \u043f\u043e\u043b\u0435 \u0444\u043e\u0440\u043c\u0438\n    document.querySelector('.calculateBtn').addEventListener('click', function() {\n      document.getElementById('latexExpression').value = answerMathField.latex();\n    });\n\n\n\n\n    function calculateIntegral() {\n        var func = answerMathField.latex();\n        var lowLimit = document.getElementById('lower_limit');\n        var uppLimit = document.getElementById('upper_limit');\n        var numPartitions = document.getElementById('num_partitions');\n        var epsilon = document.getElementById('epsilon');\n\n        \/\/ \u0406\u043d\u0456\u0446\u0456\u0430\u043b\u0456\u0437\u0430\u0446\u0456\u044f \u0434\u0432\u043e\u0432\u0438\u043c\u0456\u0440\u043d\u043e\u0433\u043e \u043c\u0430\u0441\u0438\u0432\u0443 \u0434\u043b\u044f \u0437\u0431\u0435\u0440\u0435\u0436\u0435\u043d\u043d\u044f \u0432\u0432\u0435\u0434\u0435\u043d\u0438\u0445 \u043a\u043e\u0440\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0435\u043c \u0434\u0430\u043d\u0438\u0445\n        var enteredData = [];\n        \/\/ \u0414\u043e\u0434\u0430\u0432\u0430\u043d\u043d\u044f \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0434\u043e \u0434\u0432\u043e\u0432\u0438\u043c\u0456\u0440\u043d\u043e\u0433\u043e \u043c\u0430\u0441\u0438\u0432\u0443\n        enteredData.push(func || '');\n        enteredData.push(parseFloat(lowLimit.value) || 0);\n        enteredData.push(parseFloat(uppLimit.value) || 0);\n        enteredData.push(parseFloat(numPartitions.value) || 0);\n        enteredData.push(parseFloat(epsilon.value) || 0.1);\n        \n        sendDataToServer(enteredData);\n        \n        transferX = document.getElementById(\"X\");\n        transferY = document.getElementById(\"Y\");\n        size = document.getElementById(\"SIZE\");\n        transferX.value = 0;\n        transferY.value = 0;\n        size.value = 0;\n    }\n    \n\nfunction drawGraphAndTrapezoids(graphData, trapezoidsData) {\n    const svgWidth = 700;\n    const svgHeight = 400;\n    const margin = { top: 20, right: 20, bottom: 30, left: 50 };\n\n    const width = svgWidth - margin.left - margin.right;\n    const height = svgHeight - margin.top - margin.bottom;\n\n    let formattedGraphData = convertDataForSVG(graphData);\n    let formattedTrapezoidsData = convertTrapezoidsForSVG(trapezoidsData);\n\n    const xMin = d3.min(formattedGraphData, d => d.x);\n    const xMax = d3.max(formattedGraphData, d => d.x);\n    let yMin = d3.min(formattedGraphData, d => d.y);\n    yMin = yMin > 0 ? 0 : yMin;\n    let yMax = d3.max(formattedGraphData, d => d.y);\n    yMax = yMax < 0 ? 0 : yMax;\n\n    \/\/ Clear and set up the SVG element\n    const svg = d3.select(\"#graph-svg\")\n        .html(\"\") \/\/ Clear previous contents\n        .attr(\"width\", svgWidth)\n        .attr(\"height\", svgHeight)\n        .append(\"g\")\n        .attr(\"transform\", `translate(${margin.left},${margin.top})`);\n\n    const xScale = d3.scaleLinear()\n        .domain([xMin, xMax])\n        .range([0, width]);\n\n    const yScale = d3.scaleLinear()\n        .domain([yMin, yMax])\n        .range([height, 0]);\n\n    \/\/ Append the axes\n    svg.append(\"g\")\n        .attr(\"transform\", `translate(0,${height})`)\n        .call(d3.axisBottom(xScale))\n        .selectAll(\"path, line\")\n        .attr(\"stroke\", \"#E8E8E8\");\n\n    svg.append(\"g\")\n        .call(d3.axisLeft(yScale))\n        .selectAll(\"path, line\")\n        .attr(\"stroke\", \"#E8E8E8\");\n\n    \/\/ Add grid lines\n    svg.append(\"g\")\n        .attr(\"class\", \"grid\")\n        .call(\n            d3.axisLeft(yScale)\n                .tickSize(-width)\n                .tickFormat(\"\")\n                .ticks(10)\n        )\n        .selectAll(\"line\")\n        .attr(\"stroke\", \"#E8E8E8\")\n        .attr(\"stroke-opacity\", 1)\n        .filter((d, i, nodes) => d !== yMax)\n        .attr(\"stroke-dasharray\", \"\");\n\n    svg.selectAll(\".domain\")\n        .attr(\"stroke\", \"#E8E8E8\");\n\n    \/\/ Define the area between the graph and the OX axis\n    const area = d3.area()\n        .x(d => xScale(d.x))\n        .y0(yScale(0)) \/\/ Set the OX axis at y=0\n        .y1(d => yScale(d.y));\n\n    \/\/ Append the filled area (95% transparent)\n    svg.append(\"path\")\n        .datum(formattedGraphData)\n        .attr(\"fill\", \"#0b638b\")\n        .attr(\"fill-opacity\", 0.05)\n        .attr(\"d\", area);\n\n    \/\/ Define the line generator for the graph\n    const line = d3.line()\n        .x(d => xScale(d.x))\n        .y(d => yScale(d.y));\n\n    \/\/ Append the line graph\n    svg.append(\"path\")\n        .datum(formattedGraphData)\n        .attr(\"fill\", \"none\")\n        .attr(\"stroke\", \"#0b638b\")\n        .attr(\"stroke-width\", 3)\n        .attr(\"d\", line);\n\n    \/\/ Draw trapezoids as polygons\n    svg.selectAll(\".trapezoid\")\n        .data(formattedTrapezoidsData)\n        .enter()\n        .append(\"polygon\")\n        .attr(\"points\", d => {\n            \/\/ Define the four points of the trapezoid:\n            \/\/ (x, y), (next_x, next_y), (next_x, 0), (x, 0)\n            return `${xScale(d.x)},${yScale(d.y)} \n                    ${xScale(d.next_x)},${yScale(d.next_y)} \n                    ${xScale(d.next_x)},${yScale(0)} \n                    ${xScale(d.x)},${yScale(0)}`;\n        })\n        .attr(\"fill\", \"rgba(255, 0, 0, 0.05)\")  \/\/ Red fill with 95% transparency\n        .attr(\"stroke\", \"#FF0000\") \/\/ Red border\n        .attr(\"stroke-width\", 0.5);  \/\/ Border thickness\n\n    \/\/ Add the vertical dotted line and point display functionality\n    const focusLine = svg.append(\"line\")\n        .attr(\"stroke\", \"gray\")\n        .attr(\"stroke-dasharray\", \"3,3\")\n        .attr(\"y1\", 0)\n        .attr(\"y2\", height)\n        .style(\"display\", \"none\");\n\n    const focusCircle = svg.append(\"circle\")\n        .attr(\"r\", 4)\n        .attr(\"fill\", \"#0b638b\")\n        .style(\"display\", \"none\");\n\n    const focusText = svg.append(\"text\")\n        .attr(\"fill\", \"#333\")\n        .style(\"display\", \"none\");\n\n    svg.append(\"rect\")\n        .attr(\"width\", width)\n        .attr(\"height\", height)\n        .attr(\"fill\", \"none\")\n        .attr(\"pointer-events\", \"all\")\n        .on(\"mousemove\", mousemove)\n        .on(\"mouseout\", () => {\n            focusLine.style(\"display\", \"none\");\n            focusCircle.style(\"display\", \"none\");\n            focusText.style(\"display\", \"none\");\n        });\n\n    function mousemove(event) {\n        const [mouseX] = d3.pointer(event);\n        const xValue = xScale.invert(mouseX);\n\n        if (xValue < xMin || xValue > xMax) {\n            focusLine.style(\"display\", \"none\");\n            focusCircle.style(\"display\", \"none\");\n            focusText.style(\"display\", \"none\");\n            return;\n        }\n\n        const closestPoint = formattedGraphData.reduce((prev, curr) =>\n            Math.abs(curr.x - xValue) < Math.abs(prev.x - xValue) ? curr : prev\n        );\n\n        const xPos = xScale(closestPoint.x);\n        const yPos = yScale(closestPoint.y);\n\n        if (yPos < 0 || yPos > height) {\n            focusLine.style(\"display\", \"none\");\n            focusCircle.style(\"display\", \"none\");\n            focusText.style(\"display\", \"none\");\n            return;\n        }\n\n        focusLine\n            .attr(\"x1\", xPos)\n            .attr(\"x2\", xPos)\n            .attr(\"stroke-dasharray\", \"1,3\")\n            .style(\"display\", null);\n\n        focusCircle\n            .attr(\"cx\", xPos)\n            .attr(\"cy\", yPos)\n            .style(\"display\", null);\n\n        const textPadding = 10;\n        let textX = xPos + textPadding;\n        let textY = yPos - textPadding;\n\n        if (xPos + 100 > width) {\n            textX = xPos - 100;\n        }\n\n        if (yPos - 20 < 0) {\n            textY = yPos + textPadding;\n        }\n\n        focusText\n            .attr(\"x\", textX)\n            .attr(\"y\", textY)\n            .text(`x: ${closestPoint.x.toFixed(2)}, y: ${closestPoint.y.toFixed(2)}`)\n            .attr(\"font-size\", 10)\n            .style(\"display\", null);\n    }\n}\n\n\/\/ Helper function to convert server data to {x, y} format\nfunction convertDataForSVG(graphData) {\n    return graphData.map(point => ({ x: point[0], y: point[1] }));\n}\n\n\/\/ Helper function to convert trapezoids for SVG (separate from rectangles)\nfunction convertTrapezoidsForSVG(trapezoidsData) {\n    return trapezoidsData.map(trap => {\n        return {\n            x: trap[0],      \/\/ x is the starting x-coordinate\n            y: trap[2],      \/\/ y is the height at the starting point\n            next_x: trap[1], \/\/ next_x is the next x-coordinate (end of trapezoid)\n            next_y: trap[3]  \/\/ next_y is the height at the end point\n        };\n    });\n}\n\n\/\/-------------------------------------------------------------\n    \n    function renderMathJax() {\n        MathJax.Hub.Queue([\"Typeset\", MathJax.Hub]);\n    }\n    \n    function sendDataToServer(enteredData) {\n        var loading = document.getElementById('loading');\n        var resultC = document.getElementById('fcontainer');\n        var resultCalc = document.getElementById('calculation-results');\n        var errorBlock = document.getElementById('error-block'); \/\/ \u0411\u043b\u043e\u043a \u0434\u043b\u044f \u043f\u043e\u0432\u0456\u0434\u043e\u043c\u043b\u0435\u043d\u044c \u043f\u0440\u043e \u043f\u043e\u043c\u0438\u043b\u043a\u0438\n        \n        resultC.innerHTML = '';\n        errorBlock.classList.remove('show'); \/\/ \u041f\u0440\u0438\u0445\u043e\u0432\u0443\u0454\u043c\u043e \u0431\u043b\u043e\u043a \u043f\u043e\u043c\u0438\u043b\u043e\u043a \u043f\u0435\u0440\u0435\u0434 \u043f\u043e\u0447\u0430\u0442\u043a\u043e\u043c \u043d\u043e\u0432\u043e\u0433\u043e \u0437\u0430\u043f\u0438\u0442\u0443\n        errorBlock.innerHTML = ''; \n        \n        \/\/var generateButton = document.getElementById(\"generate-button\");\n        \n        \/\/if (generateButton.disabled) {\n        \/\/    return; \/\/ \u0417\u0430\u043f\u043e\u0431\u0456\u0433\u0430\u0439\u0442\u0435 \u0431\u0430\u0433\u0430\u0442\u043e\u0440\u0430\u0437\u043e\u0432\u0438\u043c \u043d\u0430\u0442\u0438\u0441\u043a\u0430\u043d\u043d\u044f\u043c \u043f\u0456\u0434 \u0447\u0430\u0441 \u0441\u0442\u0432\u043e\u0440\u0435\u043d\u043d\u044f \u0432\u043c\u0456\u0441\u0442\u0443\n        \/\/}\n        \n        \/\/generateButton.disabled = true;\n    \n        loading.style.display = 'block';\n        resultCalc.style.display = 'none';\n        \n    \n        var formData = new FormData();\n        formData.append('action', 'integration_by_romberg_method');\n        formData.append('enteredData', JSON.stringify(enteredData));\n\n        fetch('\/ru\/wp-admin\/admin-ajax.php', {\n            method: 'POST',\n            body: formData\n        })\n        .then(response => {\n           if (!response.ok) {\n                throw new Error('Network response was not ok');\n            }\n            return response.json();\n        })\n        .then(data => {\n            loading.style.display = 'none';\n            if (data.success) {\n                if (Array.isArray(data.integral)) {\n                    const messages = [\n    \"\u0420\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u044b \u0412\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0439: \u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u0442\u0435 \u043d\u0430 \u041f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0435 \u0417\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0418\u043d\u0442\u0435\u0433\u0440\u0430\u043b\u0430\",\n    \"\u0420\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0420\u0430\u0441\u0447\u0451\u0442\u0430: \u0422\u043e\u0447\u043d\u043e\u0435 \u041f\u0440\u0438\u0431\u043b\u0438\u0436\u0435\u043d\u0438\u0435, \u041f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0435 \u0428\u0430\u0433 \u0437\u0430 \u0428\u0430\u0433\u043e\u043c\",\n    \"\u0412\u0430\u0448 \u041e\u0442\u0432\u0435\u0442 \u0413\u043e\u0442\u043e\u0432: \u0417\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0418\u043d\u0442\u0435\u0433\u0440\u0430\u043b\u0430 \u0438 \u0413\u0440\u0430\u0444\u0438\u043a \u0420\u0430\u0437\u0431\u0438\u0435\u043d\u0438\u044f\",\n    \"\u0418\u0442\u043e\u0433 \u0412\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0439: \u0417\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0418\u043d\u0442\u0435\u0433\u0440\u0430\u043b\u0430 \u0438 \u0412\u0438\u0437\u0443\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f \u0420\u0430\u0437\u0431\u0438\u0435\u043d\u0438\u0439\",\n    \"\u0412\u0430\u0448 \u041e\u0442\u0432\u0435\u0442 \u0413\u043e\u0442\u043e\u0432: \u0417\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0451\u043d\u043d\u043e\u0433\u043e \u0418\u043d\u0442\u0435\u0433\u0440\u0430\u043b\u0430 \u041d\u0430\u0439\u0434\u0435\u043d\u043e\"\n  ];\n                    const randomIndex = Math.floor(Math.random() * messages.length);\n                    resultC.innerHTML += '<h2><center>' + messages[randomIndex] + '<\/center><\/h2><svg id=\"graph-svg\" width=\"800\" height=\"400\"><\/svg>';\n                    \n                    for (let i = 0; i < data.integral[1].length; i++) {\n                        if (data.integral[2][i]) {\n                            resultC.innerHTML += data.integral[2][i];\n                        }\n                        resultC.innerHTML += '<div class=\"formula\">' + data.integral[1][i] + '<\/div>';\n                    }\n                    \n                    var lowLimit = document.getElementById('lower_limit');\n                    var uppLimit = document.getElementById('upper_limit');\n                    \n                    drawGraphAndTrapezoids(data.integral[3][\"graph\"], data.integral[3][\"trapezoids\"]);\n                } else {\n                    resultC.innerHTML += '<div class=\"formula\">' + data.integral + '<\/div>';\n                }\n                renderMathJax();\n                resultCalc.style.display = 'block';\n            } else {\n                showError(data.error);\n            }\n        })\n        .catch(error => {\n            loading.style.display = 'none';\n            showError(data.error);\n        });\n    }\n    \n    \/\/ \u0424\u0443\u043d\u043a\u0446\u0456\u044f \u0434\u043b\u044f \u0432\u0456\u0434\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f \u043f\u043e\u0432\u0456\u0434\u043e\u043c\u043b\u0435\u043d\u043d\u044f \u043f\u0440\u043e \u043f\u043e\u043c\u0438\u043b\u043a\u0443\n    function showError(message) {\n        var errorBlock = document.getElementById('error-block');\n        errorBlock.textContent = message;\n        errorBlock.classList.add('show'); \/\/ \u0412\u0456\u0434\u043e\u0431\u0440\u0430\u0436\u0430\u0454\u043c\u043e \u0431\u043b\u043e\u043a \u0437 \u043f\u043e\u0432\u0456\u0434\u043e\u043c\u043b\u0435\u043d\u043d\u044f\u043c \u043f\u0440\u043e \u043f\u043e\u043c\u0438\u043b\u043a\u0443\n    }\n<\/script>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-af4b6d0 elementor-widget elementor-widget-html\" data-id=\"af4b6d0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"h2-title2\">\u041c\u0435\u0442\u043e\u0434 \u0420\u043e\u043c\u0431\u0435\u0440\u0433\u0430 \u041e\u043d\u043b\u0430\u0439\u043d: \u041a\u0430\u043a \u044d\u0442\u043e \u0420\u0430\u0431\u043e\u0442\u0430\u0435\u0442<\/h2>\n<img decoding=\"async\" class=\"aligncenter wp-image-10020256 size-full\" src=\"https:\/\/www.mathros.net.ua\/ru\/wp-content\/uploads\/2025\/09\/romberg-method-calculator1.jpg\" alt=\"\u043c\u0435\u0442\u043e\u0434 \u0440\u043e\u043c\u0431\u0435\u0440\u0433\u0430 \u043e\u043d\u043b\u0430\u0439\u043d, \u043c\u0435\u0442\u043e\u0434 \u0440\u043e\u043c\u0431\u0435\u0440\u0433\u0430 \u043e\u043d\u043b\u0430\u0439\u043d \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440, \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0435 \u0438\u043d\u0442\u0435\u0433\u0440\u0430\u043b\u043e\u0432 \u043c\u0435\u0442\u043e\u0434\u043e\u043c \u0440\u043e\u043c\u0431\u0435\u0440\u0433\u0430 \u043e\u043d\u043b\u0430\u0439\u043d\" width=\"150\" height=\"150\" \/>\n<p class=\"calculator-p\"><a title=\"\u041a\u0430\u043a \u0440\u0430\u0431\u043e\u0442\u0430\u0435\u0442 \u043c\u0435\u0442\u043e\u0434 \u0420\u043e\u043c\u0431\u0435\u0440\u0433\u0430\" href=\"https:\/\/www.mathros.net.ua\/ru\/metod-romberga.html\">\u041c\u0435\u0442\u043e\u0434 \u0420\u043e\u043c\u0431\u0435\u0440\u0433\u0430<\/a> \u043e\u043d\u043b\u0430\u0439\u043d - \u044d\u0442\u043e \u0443\u0434\u043e\u0431\u043d\u044b\u0439 \u0438\u043d\u0441\u0442\u0440\u0443\u043c\u0435\u043d\u0442 \u0434\u043b\u044f \u043f\u0440\u0438\u0431\u043b\u0438\u0436\u0451\u043d\u043d\u043e\u0433\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f <a title=\"\u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0433\u0440\u0430\u043b\" href=\"https:\/\/ru.wikipedia.org\/wiki\/%D0%9E%D0%BF%D1%80%D0%B5%D0%B4%D0%B5%D0%BB%D1%91%D0%BD%D0%BD%D1%8B%D0%B9_%D0%B8%D0%BD%D1%82%D0%B5%D0%B3%D1%80%D0%B0%D0%BB\" target=\"_blank\" rel=\"nofollow noopener\">\u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0451\u043d\u043d\u043e\u0433\u043e \u0438\u043d\u0442\u0435\u0433\u0440\u0430\u043b\u0430<\/a> \u0431\u0435\u0437 \u043b\u0438\u0448\u043d\u0438\u0445 \u0443\u0441\u0438\u043b\u0438\u0439. \u0412\u044b \u0432\u0432\u043e\u0434\u0438\u0442\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0438 \u043f\u0440\u0435\u0434\u0435\u043b\u044b \u0438\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f, \u0430 \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c \u0443\u0442\u043e\u0447\u043d\u044f\u0435\u0442 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442. \u0412 \u0447\u0451\u043c \u0435\u0433\u043e \u0441\u0438\u043b\u0430? \u041e\u043d \u0441\u043e\u0447\u0435\u0442\u0430\u0435\u0442 \u043f\u0440\u043e\u0441\u0442\u043e\u0442\u0443 <a title=\"\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u043e\u0441\u043d\u043e\u0432\u0430 \u043c\u0435\u0442\u043e\u0434\u0430 \u0442\u0440\u0430\u043f\u0435\u0446\u0438\u0439\" href=\"https:\/\/www.mathros.net.ua\/ru\/metod-trapecyj.html\">\u043c\u0435\u0442\u043e\u0434\u0430 \u0442\u0440\u0430\u043f\u0435\u0446\u0438\u0439<\/a> \u0441 \u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u0443\u043b\u0443\u0447\u0448\u0435\u043d\u0438\u044f\u043c\u0438 \u0442\u043e\u0447\u043d\u043e\u0441\u0442\u0438.<\/p>\n<p class=\"calculator-p\">\u041f\u043e\u0441\u043b\u0435 \u0437\u0430\u043f\u0443\u0441\u043a\u0430 \u0440\u0430\u0441\u0447\u0451\u0442\u0430 \u0448\u0430\u0433 \u0440\u0430\u0437\u0431\u0438\u0435\u043d\u0438\u044f \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0430 \u043f\u043e\u0441\u0442\u0435\u043f\u0435\u043d\u043d\u043e \u0443\u043c\u0435\u043d\u044c\u0448\u0430\u0435\u0442\u0441\u044f, \u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0438\u043d\u0442\u0435\u0433\u0440\u0430\u043b\u0430 \u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u0441\u044f \u0432\u0441\u0451 \u0442\u043e\u0447\u043d\u0435\u0435. \u041d\u0443\u0436\u043d\u0430 \u0431\u044b\u0441\u0442\u0440\u0430\u044f \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0430 \u043e\u0442\u0432\u0435\u0442\u0430 \u0438\u043b\u0438 \u043f\u043e\u0434\u0433\u043e\u0442\u043e\u0432\u043a\u0430 \u043a \u0437\u0430\u0434\u0430\u0447\u0435? \u041f\u043e\u0447\u0435\u043c\u0443 \u0431\u044b \u043d\u0435 \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c \u0433\u043e\u0442\u043e\u0432\u044b\u0439 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0437\u0430 \u0441\u0435\u043a\u0443\u043d\u0434\u044b \u0438 \u0441\u0440\u0430\u0437\u0443 \u0441\u0440\u0430\u0432\u043d\u0438\u0442\u044c \u0435\u0433\u043e \u0441 \u043e\u0436\u0438\u0434\u0430\u0435\u043c\u044b\u043c?<\/p>\n<p class=\"calculator-p\">\u0427\u0442\u043e\u0431\u044b \u043f\u0440\u043e\u0446\u0435\u0441\u0441 \u0431\u044b\u043b \u043d\u0430\u0433\u043b\u044f\u0434\u043d\u044b\u043c, \u043d\u0430 \u044d\u043a\u0440\u0430\u043d\u0435 \u043f\u043e\u043a\u0430\u0437\u0430\u043d \u0433\u0440\u0430\u0444\u0438\u043a \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0435\u0433\u043e \u0440\u0430\u0437\u0431\u0438\u0435\u043d\u0438\u044f. \u0420\u0430\u0437\u0432\u0435 \u043d\u0435 \u043f\u043e\u043b\u0435\u0437\u043d\u043e \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u043a\u0430\u043a \u043e\u0431\u043b\u0430\u0441\u0442\u044c \u043f\u043e\u0434 \u043a\u0440\u0438\u0432\u043e\u0439 \u0444\u043e\u0440\u043c\u0438\u0440\u0443\u0435\u0442\u0441\u044f \u0438\u0437 \u0442\u0440\u0430\u043f\u0435\u0446\u0438\u0439, \u0430 \u0438\u0442\u043e\u0433\u043e\u0432\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u0441\u044f \u043f\u043e\u043d\u044f\u0442\u043d\u0435\u0435? \u0422\u0430\u043a\u0430\u044f \u0432\u0438\u0437\u0443\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f \u043f\u043e\u043c\u043e\u0433\u0430\u0435\u0442 \u0443\u043b\u043e\u0432\u0438\u0442\u044c \u043b\u043e\u0433\u0438\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0430 \u0438 \u0437\u0430\u043a\u0440\u0435\u043f\u0438\u0442\u044c \u0442\u0435\u043e\u0440\u0438\u044e \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0439.<\/p>\n<style>\n    .h2-title2 {\n        text-align: center; \/* \u0412\u0438\u0440\u0456\u0432\u043d\u044e\u0432\u0430\u043d\u043d\u044f \u043f\u043e \u043b\u0456\u0432\u043e\u043c\u0443 \u043a\u0440\u0430\u044e *\/\n        color: gray;\n        font-size: 28px;\n    }\n    .calculator-p {\n        color: gray;\n        text-align: center;\n    }\n<\/style>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>\u0425\u043e\u0442\u0438\u0442\u0435 \u0411\u044b\u0441\u0442\u0440\u043e \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0451\u043d\u043d\u044b\u0439 \u0418\u043d\u0442\u0435\u0433\u0440\u0430\u043b \u0434\u043b\u044f \u0423\u0447\u0451\u0431\u044b \u0438\u043b\u0438 \u0420\u0430\u0431\u043e\u0442\u044b? \u041f\u043e\u043f\u0440\u043e\u0431\u0443\u0439\u0442\u0435 \u041d\u0430\u0448 \u041e\u043d\u043b\u0430\u0439\u043d \u041a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440 \u041f\u0440\u044f\u043c\u043e \u0421\u0435\u0439\u0447\u0430\u0441! \u041f\u043e\u0434\u044b\u043d\u0442\u0435\u0433\u0440\u0430\u043b\u044c\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f (\u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, &#171;x^2&#187;, &#171;sin(x)&#187;,<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-centered.php","meta":{"footnotes":""},"class_list":["post-1398","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mathros.net.ua\/ru\/wp-json\/wp\/v2\/pages\/1398"}],"collection":[{"href":"https:\/\/www.mathros.net.ua\/ru\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mathros.net.ua\/ru\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mathros.net.ua\/ru\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mathros.net.ua\/ru\/wp-json\/wp\/v2\/comments?post=1398"}],"version-history":[{"count":27,"href":"https:\/\/www.mathros.net.ua\/ru\/wp-json\/wp\/v2\/pages\/1398\/revisions"}],"predecessor-version":[{"id":1432,"href":"https:\/\/www.mathros.net.ua\/ru\/wp-json\/wp\/v2\/pages\/1398\/revisions\/1432"}],"wp:attachment":[{"href":"https:\/\/www.mathros.net.ua\/ru\/wp-json\/wp\/v2\/media?parent=1398"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}