{"id":37942,"date":"2026-02-10T09:09:13","date_gmt":"2026-02-10T09:09:13","guid":{"rendered":"https:\/\/mp.moonpreneur.com\/math-corner\/?p=37942"},"modified":"2026-02-25T09:16:29","modified_gmt":"2026-02-25T09:16:29","slug":"kings-rule-in-definite-integrals","status":"publish","type":"post","link":"https:\/\/mp.moonpreneur.com\/math-corner\/kings-rule-in-definite-integrals\/","title":{"rendered":"How to Use King\u2019s Rule in Definite Integrals: Formulas &#038; Solved Examples"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"37942\" class=\"elementor elementor-37942\" data-elementor-post-type=\"post\">\n\t\t\t\t\t\t<div class=\"elementor-inner\">\n\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-fcfec80 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"fcfec80\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-92390b3\" data-id=\"92390b3\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0fa4990 elementor-widget elementor-widget-text-editor\" data-id=\"0fa4990\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">Mastering calculus can often feel like trying to solve a puzzle with missing pieces, but every once in a while, you find a &#8220;cheat code&#8221; that makes everything click. For SAT students looking ahead to AP Calculus or those just wanting to sharpen their mathematical intuition, <\/span><b>King\u2019s Rule<\/b><span style=\"font-weight: 400;\"> is exactly that\u2014a powerful shortcut for solving definite integrals that look intimidating at first glance<\/span><\/p><h3><span style=\"color: #ff0000;\"><b>What is King\u2019s Rule?<\/b><\/span><\/h3><p><span style=\"font-weight: 400;\">At its heart, King\u2019s Rule is a property of definite integrals that allows you to swap the variable in a way that often simplifies the entire expression. It replaces the variable x with a+b-x (sum of limits minus x)<\/span><\/p><p><span style=\"font-weight: 400;\">It states : \\(\\displaystyle \\int_{b}^{a} f(x)\\,dx = \\int_{b}^{a} f(a + b &#8211; x)\\,dx\\)<\/span><\/p><p><span style=\"font-weight: 400;\"><strong><span style=\"color: #800000;\">In plain English<\/span>:<\/strong> The area under a curve from point <\/span><b>a<\/b><span style=\"font-weight: 400;\"> to point <\/span><b>b<\/b><span style=\"font-weight: 400;\"> remains the same even if you replace every <\/span><i><span style=\"font-weight: 400;\">x<\/span><\/i><span style=\"font-weight: 400;\"> with the sum of the limits (<\/span><i><span style=\"font-weight: 400;\">a<\/span><\/i><span style=\"font-weight: 400;\">+<\/span><i><span style=\"font-weight: 400;\">b<\/span><\/i><span style=\"font-weight: 400;\">) minus <\/span><i><span style=\"font-weight: 400;\">x<\/span><\/i><span style=\"font-weight: 400;\">.\u00a0<\/span><\/p><h4><span style=\"color: #008000;\"><strong>Why is it useful?<\/strong><\/span><\/h4><p>King&#8217;s Rule is typically used when:<\/p><ul><li>The integrand contains sin(x) and cos(x) (since they swap roles at \u03c0\/2).<\/li><li>The denominator stays the same after the substitution, allowing you to add the two integrals.<\/li><li>You want to eliminate a pesky x factor (e.g., x * sin(x)).<\/li><\/ul><h4><span style=\"color: #000080;\"><strong>Formula and Key Steps:<\/strong><\/span><\/h4><ul><li>The rule: <span style=\"font-weight: 400;\">\\(\\displaystyle \\int_{b}^{a} f(x)\\,dx = \\int_{b}^{a} f(a + b &#8211; x)\\,dx\\)<\/span><\/li><li>Step 1: Let the given integral be: \\(\\displaystyle I = \\int_{a}^{b} f(x)\\,dx\\)<\/li><li>Step 2: Apply the property to get \\(\\displaystyle I = \\int_{a}^{b} f(a + b &#8211; x)\\,dx\\)<\/li><li>Step 3: Add the two integrals: \\(\\displaystyle 2I = \\int_{a}^{b} \\bigl[f(x) + f(a + b &#8211; x)\\bigr]\\,dx\\)<\/li><li>Step 4: Simplify the integrand and evaluate.<\/li><\/ul><h4><span style=\"color: #000080;\"><b>How to Apply It: A Step-by-Step Guide<\/b><\/span><\/h4><ol><li><b>Identify the Bounds:<\/b><span style=\"font-weight: 400;\"> Look at your limits of integration, <\/span><i><span style=\"font-weight: 400;\">a<\/span><\/i><span style=\"font-weight: 400;\"> and <\/span><i><span style=\"font-weight: 400;\">b<\/span><\/i><span style=\"font-weight: 400;\">.<\/span><\/li><li><b>Apply the Transformation:<\/b><span style=\"font-weight: 400;\"> Replace every <\/span><i><span style=\"font-weight: 400;\">x<\/span><\/i><span style=\"font-weight: 400;\"> in your function with <\/span><span style=\"font-weight: 400;\">(<\/span><i><span style=\"font-weight: 400;\">a<\/span><\/i><span style=\"font-weight: 400;\">+<\/span><i><span style=\"font-weight: 400;\">b<\/span><\/i><span style=\"font-weight: 400;\">\u2212<\/span><i><span style=\"font-weight: 400;\">x<\/span><\/i><span style=\"font-weight: 400;\">)<\/span><span style=\"font-weight: 400;\">.<\/span><\/li><li><b>The &#8220;Double Integral&#8221; Trick:<\/b><span style=\"font-weight: 400;\"> Usually, the easiest way to solve these is to call your original integral <\/span><i><span style=\"font-weight: 400;\">I<\/span><\/i><span style=\"font-weight: 400;\">. After applying King&#8217;s Rule, you have another version of <\/span><i><span style=\"font-weight: 400;\">I<\/span><\/i><span style=\"font-weight: 400;\">.<\/span><\/li><li><b>Add Them Together:<\/b><span style=\"font-weight: 400;\"> Add the two versions (<\/span><i><span style=\"font-weight: 400;\">I<\/span><\/i><span style=\"font-weight: 400;\">+<\/span><i><span style=\"font-weight: 400;\">I<\/span><\/i><span style=\"font-weight: 400;\">=2<\/span><i><span style=\"font-weight: 400;\">I<\/span><\/i><span style=\"font-weight: 400;\">). Frequently, the functions will simplify into something incredibly easy, like <\/span><span style=\"font-weight: 400;\">1<\/span><span style=\"font-weight: 400;\">, which is much simpler to integrate!<\/span><\/li><\/ol><h3><span style=\"color: #ff6600;\"><strong>Example 1:\u00a0<\/strong><\/span><\/h3><p><strong>\\(\\displaystyle \\int_{0}^{\\pi\/2} \\frac{\\sin x}{\\sin x + \\cos x}\\,dx\\)<\/strong><\/p><h5><span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><\/h5><p>1.Let \\(\\displaystyle I = \\int_{0}^{\\pi\/2} \\frac{\\sin x}{\\sin x + \\cos x}\\,dx\\)<\/p><p>2. using King&#8217;s Rule (a= 0, b = \u03a0\/2), replace x with ( 0 + \u03a0\/2 &#8211; x):\u00a0<\/p>\\(\\displaystyle<br \/>I = \\int_{0}^{\\pi\/2} \\frac{\\sin\\!\\left(\\frac{\\pi}{2} &#8211; x\\right)}{\\sin\\!\\left(\\frac{\\pi}{2} &#8211; x\\right) + \\cos\\!\\left(\\frac{\\pi}{2} &#8211; x\\right)}\\,dx<br \/>= \\int_{0}^{\\pi\/2} \\frac{\\cos x}{\\cos x + \\sin x}\\,dx<br \/>\\)<p>3. Add the two I expressions: \\(\\displaystyle<br \/>2I = \\int_{0}^{\\pi\/2} \\frac{\\sin x + \\cos x}{\\sin x + \\cos x}\\,dx<br \/>= \\int_{0}^{\\pi\/2} 1\\,dx<br \/>\\)<\/p><p>4.\\(\\displaystyle 2I = \\left[ x \\right]_{0}^{\\pi\/2} = \\frac{\\pi}{2}\\)<\/p><p>5. Therefore, \\(\\displaystyle I = \\frac{\\pi}{4}\\)<\/p><h4><strong><span style=\"color: #ff6600;\">Example 2:<\/span><\/strong><\/h4><p><strong> \\(\\displaystyle \\int_{0}^{\\pi\/2} \\log(\\sin x)\\,dx\\)<\/strong><\/p><h5><span style=\"color: #008000;\">Solution:<\/span><\/h5><p>1. Let \\(\\displaystyle<br \/>I = \\int_{0}^{\\pi\/2} \\log\\!\\left(\\sin\\!\\left(\\frac{\\pi}{2} &#8211; x\\right)\\right)\\,dx<br \/>= \\int_{0}^{\\pi\/2} \\log(\\cos x)\\,dx<br \/>\\)<\/p><p>\u00a0<\/p><p>2. Apply King&#8217;s Rule: \\(\\displaystyle<br \/>I = \\int_{0}^{\\pi\/2} \\log(\\sin x)\\,dx<br \/>= \\int_{0}^{\\pi\/2} \\log(\\cos x)\\,dx<br \/>\\)<\/p><p>3. Add the Equations: \\(\\displaystyle<br \/>2I = \\int_{0}^{\\pi\/2} \\bigl(\\log(\\sin x) + \\log(\\cos x)\\bigr)\\,dx<br \/>= \\int_{0}^{\\pi\/2} \\log(\\sin x \\cos x)\\,dx<br \/>\\)<\/p><p>4. Using log properties: \\(\\displaystyle<br \/>2I = \\int_{0}^{\\pi\/2} \\log\\!\\left(\\frac{\\sin 2x}{2}\\right)\\,dx<br \/>\\)<\/p><p>5. Hence: \\(\\displaystyle I = -\\frac{\\pi}{2}\\log 2\\)<\/p><h5><span style=\"color: #800080;\"><strong>For a more detailed walkthrough, you can watch this video: <\/strong><\/span><\/h5>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f1092aa elementor-widget elementor-widget-video\" data-id=\"f1092aa\" data-element_type=\"widget\" data-settings=\"{&quot;video_type&quot;:&quot;hosted&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"e-hosted-video elementor-wrapper elementor-open-inline\">\n\t\t\t\t\t<video class=\"elementor-video\" src=\"https:\/\/mp.moonpreneur.com\/math-corner\/wp-content\/uploads\/2026\/02\/kings_rule.mp4\" controls=\"\" preload=\"metadata\" controlsList=\"nodownload\"><\/video>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-000fa3b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"000fa3b\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1901152\" data-id=\"1901152\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-efb1fbf elementor-widget elementor-widget-text-editor\" data-id=\"efb1fbf\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><span style=\"color: #993300;\"><b>Why This Matters for You<\/b><\/span><\/h3><p><span style=\"font-weight: 400;\">While the SAT focuses heavily on algebra and geometry, developing a &#8220;problem-solver&#8217;s mindset&#8221; is what truly sets top students apart. Learning techniques like King\u2019s Rule teaches you to <\/span><b>look for patterns<\/b><span style=\"font-weight: 400;\"> rather than just memorising steps.<\/span><\/p><p><span style=\"font-weight: 400;\">Whether you are prepping for the SAT or diving into advanced calculus, remember that math isn&#8217;t just about getting the right answer\u2014it&#8217;s about finding the most elegant way to get there.<\/span><\/p><h4><span style=\"color: #800000;\"><b>Pro-Tip for SAT Students:<\/b><\/span><\/h4><p><span style=\"font-weight: 400;\"> Keep exploring these advanced &#8220;short-cuts.&#8221; Even if you don&#8217;t use King&#8217;s Rule on the SAT itself, the logic of &#8220;variable substitution&#8221; will make you much faster and more accurate on the math sections you <\/span><i><span style=\"font-weight: 400;\">do<\/span><\/i><span style=\"font-weight: 400;\"> face!<\/span><\/p><p><span style=\"font-weight: 400;\">Want to excite your child about math and sharpen their math skills? Moonpreneur&#8217;s online math curriculum is unique as it helps children understand math skills through hands-on lessons, assists them in building real-life applications, and excites them to learn math.\u00a0<\/span><\/p><p><span style=\"font-weight: 400;\">You can opt for our <\/span><a href=\"https:\/\/moonpreneur.com\/innovator-program\/advanced-math\/\"><span style=\"font-weight: 400;\">Advanced Math<\/span><\/a><span style=\"font-weight: 400;\"> or Vedic Math+Mental Math courses. Our <\/span><a href=\"https:\/\/mp.moonpreneur.com\/math-quiz-for-kids\/\"><span style=\"font-weight: 400;\">Math Quiz<\/span><\/a><span style=\"font-weight: 400;\"> for grades 3rd, 4th, 5th, and 6th helps in further exciting and engaging in mathematics with hands-on lessons.<\/span><\/p><p><b>Recommended Reading:<\/b><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/exponential-equations-using-recursion-and-algebraic\/\"><span style=\"font-weight: 400;\">Solving Exponential Equations Using Recursion: A Step-by-Step Guide<\/span><\/a><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/linear-equations-different-solutions\/\"><span style=\"font-weight: 400;\">Linear Equation &#8211; One Solution, No Solution and Many Solutions<\/span><\/a><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/geometry-problem\/\"><span style=\"font-weight: 400;\">Interesting Geometry Problem to Solve For Kids<\/span><\/a><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><p><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/sat-quadratics-tricks\/\"><span style=\"font-weight: 400;\">The Ultimate Guide to Solving SAT Quadratics in Seconds<\/span><\/a><\/p><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><p><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/derive-quadratic-formula\/\"><span style=\"font-weight: 400;\">How to Derive and Use the Quadratic Formula (With Examples)<\/span><\/a><\/p><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/sherman-morrison-woodbury-identity\/\"><span style=\"font-weight: 400;\">Application &amp; Proof\u00a0 of the Sherman-Morrison-Woodbury Identity<\/span><\/a><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/geometric-problem-unsolved-by-ai\/\"><span style=\"font-weight: 400;\">The Geometry Problem That Still Defeats ChatGPT, Gemini, and Grok<\/span><\/a><\/li><\/ol><p><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/wp-content\/uploads\/2026\/02\/kings_rule_1.jpeg\"><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-37947\" src=\"https:\/\/mp.moonpreneur.com\/math-corner\/wp-content\/uploads\/2026\/02\/kings_rule_1.jpeg\" alt=\"\" width=\"1972\" height=\"1080\" \/><\/a><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-4dd7e1e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4dd7e1e\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-70c82a2\" data-id=\"70c82a2\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-eb6ea7a elementor-widget elementor-widget-text-editor\" data-id=\"eb6ea7a\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><strong>FAQs on King&#8217;s Rule<\/strong><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-44c18e9 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"44c18e9\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-24f8067\" data-id=\"24f8067\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b4d1436 elementor-widget elementor-widget-elementskit-faq\" data-id=\"b4d1436\" data-element_type=\"widget\" data-widget_type=\"elementskit-faq.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<div class=\"ekit-wid-con\">\n                <div class=\"elementskit-single-faq elementor-repeater-item-95228b5\">\n            <div class=\"elementskit-faq-header\">\n                <h2 class=\"elementskit-faq-title\">Q1. What is a definite integral?<\/h2>\n            <\/div>\n            <div class=\"elementskit-faq-body\">\n                Ans. Definite integration refers to the process of calculating the integral of a function between specified limits, resulting in a numerical value representing the area under the curve.\n            <\/div>\n        <\/div>\n                <div class=\"elementskit-single-faq elementor-repeater-item-62a8206\">\n            <div class=\"elementskit-faq-header\">\n                <h2 class=\"elementskit-faq-title\">2. When is it most helpful to use this rule?<\/h2>\n            <\/div>\n            <div class=\"elementskit-faq-body\">\n                Ans. While it can be tried on various problems, it is typically suggested for definite integrals involving trigonometric functions. It is often used to simplify complex fractions by utilizing trigonometric identities, such as the sum and difference formulas.            <\/div>\n        <\/div>\n                <div class=\"elementskit-single-faq elementor-repeater-item-80e5d28\">\n            <div class=\"elementskit-faq-header\">\n                <h2 class=\"elementskit-faq-title\">3. What is the final step in solving an integral with this method?<\/h2>\n            <\/div>\n            <div class=\"elementskit-faq-body\">\n                Ans. Once you have solved the simplified integral for 2I, you must divide the result by 2 to isolate I, which represents the value of the original integral you were trying to solve.\n            <\/div>\n        <\/div>\n        \n    <\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Mastering calculus can often feel like trying to solve a puzzle with missing pieces, but every once in a while, you find a &#8220;cheat code&#8221; that makes everything click. For SAT students looking ahead to AP Calculus or those just wanting to sharpen their mathematical intuition, King\u2019s Rule is exactly that\u2014a powerful shortcut for solving [&hellip;]<\/p>\n","protected":false},"author":116,"featured_media":38062,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[979,986],"tags":[],"acf":[],"_links":{"self":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/37942"}],"collection":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/users\/116"}],"replies":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/comments?post=37942"}],"version-history":[{"count":9,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/37942\/revisions"}],"predecessor-version":[{"id":38065,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/37942\/revisions\/38065"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/media\/38062"}],"wp:attachment":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/media?parent=37942"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/categories?post=37942"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/tags?post=37942"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}