{"id":21135,"date":"2026-09-07T17:31:15","date_gmt":"2026-09-07T12:01:15","guid":{"rendered":"https:\/\/vidyamandir.com\/studyhub\/?p=21135"},"modified":"2026-09-07T17:31:17","modified_gmt":"2026-09-07T12:01:17","slug":"integration-formulas-for-jee","status":"publish","type":"post","link":"https:\/\/vidyamandir.com\/studyhub\/integration-formulas-for-jee\/","title":{"rendered":"Integration Formulas for JEE 2026: The Complete Cheat Sheet, Tricks and Weightage Guide"},"content":{"rendered":"\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Quick answer<\/strong><br>Integration is one of the highest-scoring areas in JEE Mathematics. Most questions in JEE Main and JEE Advanced follow repeatable patterns, so the fastest route to marks is a short list of standard formulas, four core techniques, and the properties of definite integrals \u2014 practised until recognition becomes automatic.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Let&#8217;s be honest \u2014 integration is one of those topics that either makes you feel like a genius or completely breaks your confidence. If you&#8217;ve spent hours staring at a problem and still felt stuck, you&#8217;re not alone. The good news? Most integration questions in JEE, whether Main or Advanced, follow repeatable patterns. Once you learn to spot them, what once took 10 minutes starts taking 90 seconds.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This guide is your complete Integration Cheat Sheet PDF for JEE \u2014 packed with essential formulas, smart techniques, and time-saving tricks that actually show up on the exam. Bookmark this, print it, write it on sticky notes \u2014 whatever helps you revise fast.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>What this guide covers<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Weightage:<\/strong> how many marks integration is really worth in JEE Main and JEE Advanced<\/li>\n\n\n\n<li><strong>Formulas:<\/strong> the algebraic, power and trigonometric integrals you must recall instantly<\/li>\n\n\n\n<li><strong>Techniques:<\/strong> substitution, integration by parts (ILATE), partial fractions and definite-integral properties<\/li>\n\n\n\n<li><strong>Pattern recognition:<\/strong> the reverse-derivative cues most students miss<\/li>\n\n\n\n<li><strong>Revision method:<\/strong> how to turn all of this into a cheat sheet you actually use<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Why does integration deserve your full attention in JEE 2026?<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Before diving into the formulas, let&#8217;s talk numbers. Integration isn&#8217;t just &#8220;another topic&#8221; \u2014 it&#8217;s one of the highest-scoring areas in the entire Mathematics section. If you are still deciding where to spend your remaining hours, compare it against the <a href=\"https:\/\/vidyamandir.com\/studyhub\/jee-maths-do-or-die-chapters-calculus-vectors-probability\/\">do-or-die chapters in JEE Maths<\/a> before you build your timetable.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>How much weightage does integration carry in JEE Main?<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The table below breaks calculus down sub-topic by sub-topic, based on the last five years of papers.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th><strong>Topic<\/strong><\/th><th><strong>Expected questions per session<\/strong><\/th><th><strong>Approximate marks<\/strong><\/th><\/tr><\/thead><tbody><tr><td>Indefinite Integration<\/td><td>1\u20132<\/td><td>4\u20138<\/td><\/tr><tr><td>Definite Integration<\/td><td>1\u20133<\/td><td>4\u201312<\/td><\/tr><tr><td>Area Under Curves<\/td><td>1\u20132<\/td><td>4\u20138<\/td><\/tr><tr><td>Differential Equations<\/td><td>1\u20132<\/td><td>4\u20138<\/td><\/tr><tr><td>Total (Calculus overall)<\/td><td>5\u20137<\/td><td>24\u201328<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Based on a review of recent JEE Main papers, Calculus is consistently among the largest contributors in the Maths section, with definite integration alone showing up across multiple shifts every year. That pattern lines up with the wider <a href=\"https:\/\/vidyamandir.com\/studyhub\/jee-main-high-weightage-chapters-trend-analysis\/\">high-weightage chapter trends for JEE Main<\/a>, and with the <a href=\"https:\/\/vidyamandir.com\/studyhub\/jee-main-chapter-wise-weightage-physics-chemistry-maths\/\">chapter-wise weightage split across Physics, Chemistry and Maths<\/a>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>How much weightage does integration carry in JEE Advanced?<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th><strong>Chapter<\/strong><\/th><th><strong>Questions (Paper 1)<\/strong><\/th><th><strong>Marks<\/strong><\/th><th><strong>Weightage<\/strong><\/th><\/tr><\/thead><tbody><tr><td>Definite Integration<\/td><td>2<\/td><td>4+4<\/td><td>~6.67%<\/td><\/tr><tr><td>Area Under Curves<\/td><td>2<\/td><td>3+4<\/td><td>~5.83%<\/td><\/tr><tr><td>Differential Equations<\/td><td>2<\/td><td>4+4<\/td><td>~6.67%<\/td><\/tr><tr><td>Combined Calculus<\/td><td>~7\u20138<\/td><td>~50+<\/td><td>15\u201317%<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Calculus regularly carries some of the highest weightage of any topic group in JEE Advanced Mathematics. Simply put, if you skip or underprepare integration, you&#8217;re voluntarily leaving marks on the table across both papers \u2014 something that becomes obvious the moment you read a <a href=\"https:\/\/vidyamandir.com\/studyhub\/jee-advanced-2026-paper-1-maths-analysis\/\">JEE Advanced Paper 1 Maths analysis<\/a>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>Note: the figures above are approximate, based on trend analysis of recent-year papers. Numbers can shift slightly year to year, so always cross-check against the latest official JEE analysis before treating them as exact.<\/em><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Which integration formulas must you know by heart?<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">These are the building blocks. If you&#8217;re using a JEE Integration Formulas PDF, this is the section that should be on Page 1. If recall is your weak link rather than understanding, pair this section with a system for <a href=\"https:\/\/vidyamandir.com\/studyhub\/how-to-remember-formulas-for-jee\/\">remembering formulas for JEE<\/a>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>What are the basic algebraic and power integrals?<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th><strong>Formula<\/strong><\/th><th><strong>Result<\/strong><\/th><\/tr><\/thead><tbody><tr><td>\u222bx\u207f dx<\/td><td>x\u207f\u207a\u00b9\/(n+1) + C, where n \u2260 \u22121<\/td><\/tr><tr><td>\u222b1\/x dx<\/td><td>ln|x| + C<\/td><\/tr><tr><td>\u222be\u02e3 dx<\/td><td>e\u02e3 + C<\/td><\/tr><tr><td>\u222ba\u02e3 dx<\/td><td>a\u02e3\/ln(a) + C<\/td><\/tr><tr><td>\u222b1\/(x\u00b2+a\u00b2) dx<\/td><td>(1\/a) tan\u207b\u00b9(x\/a) + C<\/td><\/tr><tr><td>\u222b1\/\u221a(a\u00b2\u2212x\u00b2) dx<\/td><td>sin\u207b\u00b9(x\/a) + C<\/td><\/tr><tr><td>\u222b1\/\u221a(x\u00b2+a\u00b2) dx<\/td><td>ln|x + \u221a(x\u00b2+a\u00b2)| + C<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Which trigonometric integrals show up most often?<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th><strong>Formula<\/strong><\/th><th><strong>Result<\/strong><\/th><\/tr><\/thead><tbody><tr><td>\u222bsin x dx<\/td><td>\u2212cos x + C<\/td><\/tr><tr><td>\u222bcos x dx<\/td><td>sin x + C<\/td><\/tr><tr><td>\u222btan x dx<\/td><td>ln|sec x| + C<\/td><\/tr><tr><td>\u222bcot x dx<\/td><td>ln|sin x| + C<\/td><\/tr><tr><td>\u222bsec x dx<\/td><td>ln|sec x + tan x| + C<\/td><\/tr><tr><td>\u222bcosec x dx<\/td><td>ln|cosec x \u2212 cot x| + C<\/td><\/tr><tr><td>\u222bsec\u00b2x dx<\/td><td>tan x + C<\/td><\/tr><tr><td>\u222bcosec\u00b2x dx<\/td><td>\u2212cot x + C<\/td><\/tr><tr><td>\u222bsec x tan x dx<\/td><td>sec x + C<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Which integration techniques actually work in JEE Main and Advanced?<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Knowing formulas is step one. Using the right technique is what separates a student who scores 60 in Maths from one who scores 90+.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Technique picker<\/strong><br>Composite function with its own derivative sitting next to it \u2192 substitution. Two different function types multiplied \u2192 integration by parts (ILATE). A proper rational function \u2192 partial fractions. Definite limits with awkward symmetry \u2192 properties.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Technique 1: How does the substitution method work?<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The most versatile tool in your kit. Whenever you spot a composite function of the form f(g(x))\u00b7g'(x), substitution is your move.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Classic pattern:<\/strong> If you see \u222b2x\u00b7cos(x\u00b2) dx, let u = x\u00b2, du = 2x dx \u2192 the integral becomes \u222bcos(u) du = sin(u) + C = sin(x\u00b2) + C.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>JEE tip:<\/strong> Substitution also works brilliantly for integrals involving \u221a(a\u00b2\u2212x\u00b2) or \u221a(x\u00b2+a\u00b2) \u2014 try x = a sin\u03b8 or x = a tan\u03b8 respectively. These trigonometric substitutions are a favourite in JEE Advanced.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Technique 2: How do you apply integration by parts using ILATE?<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Used when you&#8217;re multiplying two different types of functions. The formula is:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u222bu\u00b7v dx = u\u00b7\u222bv dx \u2212 \u222b(u&#8217;\u00b7\u222bv dx) dx<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The ILATE rule tells you which function to treat as &#8216;u&#8217;:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th><strong>Priority<\/strong><\/th><th><strong>Function type<\/strong><\/th><th><strong>Example<\/strong><\/th><\/tr><\/thead><tbody><tr><td>I<\/td><td>Inverse Trigonometric<\/td><td>sin\u207b\u00b9x, tan\u207b\u00b9x<\/td><\/tr><tr><td>L<\/td><td>Logarithmic<\/td><td>ln x, log x<\/td><\/tr><tr><td>A<\/td><td>Algebraic<\/td><td>x\u00b2, x\u00b3, polynomials<\/td><\/tr><tr><td>T<\/td><td>Trigonometric<\/td><td>sin x, cos x<\/td><\/tr><tr><td>E<\/td><td>Exponential<\/td><td>e\u02e3, a\u02e3<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>JEE tip:<\/strong> For integrals of the form \u222be\u02e3[f(x) + f'(x)] dx, the answer is simply e\u02e3\u00b7f(x) + C. This is one of the most commonly tested shortcuts \u2014 learn it, and you&#8217;ll save 2\u20133 minutes per question easily.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Technique 3: When should you use partial fractions?<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Used to break a rational function P(x)\/Q(x) into simpler fractions that you can integrate term by term.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>When to use it:<\/strong> the denominator can be factored into linear or quadratic factors, and the degree of the numerator is less than the denominator (proper fraction).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Standard forms:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th><strong>Denominator type<\/strong><\/th><th><strong>Decomposition form<\/strong><\/th><\/tr><\/thead><tbody><tr><td>(ax + b)(cx + d)<\/td><td>A\/(ax+b) + B\/(cx+d)<\/td><\/tr><tr><td>(ax + b)\u00b2<\/td><td>A\/(ax+b) + B\/(ax+b)\u00b2<\/td><\/tr><tr><td>(ax + b)(x\u00b2+c)<\/td><td>A\/(ax+b) + (Bx+C)\/(x\u00b2+c)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>JEE tip:<\/strong> If the fraction is improper (degree of numerator \u2265 degree of denominator), do polynomial long division first, then apply partial fractions on the remainder.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Technique 4: Which properties of definite integrals save the most time?<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">This is where Integration Tricks for JEE really shine \u2014 especially in JEE Advanced, where clever use of properties can turn a 10-step problem into a 2-step one. It is also the single best defence against the <a href=\"https:\/\/vidyamandir.com\/studyhub\/jee-advanced-maths-lengthy-tricky-questions-strategy\/\">lengthy, tricky Maths questions JEE Advanced is known for<\/a>.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th><strong>Property<\/strong><\/th><th><strong>Formula<\/strong><\/th><\/tr><\/thead><tbody><tr><td>Reversal<\/td><td>\u222b\u2090\u1d47 f(x)dx = \u2212\u222b\u1d47\u2090 f(x)dx<\/td><\/tr><tr><td>Zero when limits are equal<\/td><td>\u222b\u2090\u1d43 f(x)dx = 0<\/td><\/tr><tr><td>Additive<\/td><td>\u222b\u2090\u1d47 f(x)dx = \u222b\u2090\u1d9c f(x)dx + \u222b\u1d9c\u1d47 f(x)dx<\/td><\/tr><tr><td>King&#8217;s Property<\/td><td>\u222b\u2090\u1d47 f(x)dx = \u222b\u2090\u1d47 f(a+b\u2212x)dx<\/td><\/tr><tr><td>Half-interval (even\/odd split)<\/td><td>\u222b\u208b\u2090\u1d43 f(x)dx = 2\u222b\u2080\u1d43 f(x)dx if f is even; = 0 if f is odd<\/td><\/tr><tr><td>Period property<\/td><td>\u222b\u2080\u207f\u1d40 f(x)dx = n\u00b7\u222b\u2080\u1d40 f(x)dx if f has period T<\/td><\/tr><tr><td>Special additive<\/td><td>\u222b\u2080\u00b2\u1d43 f(x)dx = 2\u222b\u2080\u1d43 f(x)dx if f(2a\u2212x) = f(x); = 0 if f(2a\u2212x) = \u2212f(x)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">The King&#8217;s Property is probably the single most useful trick in JEE integration. It essentially replaces x with (a+b\u2212x), and when you add the original and transformed integrals, the tricky function cancels out beautifully.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Another advanced shortcut: for limits 0 to a, if f(x) + f(a\u2212x) = k, then \u222b\u2080\u1d43 f(x)dx = ka\/2. This saves enormous time in JEE Advanced.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>How do you spot the hidden patterns most students miss?<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Many integration questions are essentially derivatives in reverse \u2014 and once you train your eye, you&#8217;ll spot them instantly. Use the table below as a lookup drill: cover the right column and read only the left.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th><strong>When you see\u2026<\/strong><\/th><th><strong>Think\u2026<\/strong><\/th><\/tr><\/thead><tbody><tr><td>1\/(1+x\u00b2)<\/td><td>Derivative of tan\u207b\u00b9(x)<\/td><\/tr><tr><td>1\/\u221a(1\u2212x\u00b2)<\/td><td>Derivative of sin\u207b\u00b9(x)<\/td><\/tr><tr><td>f'(x)\/f(x)<\/td><td>ln|f(x)| + C<\/td><\/tr><tr><td>f'(x)\u00b7[f(x)]\u207f<\/td><td>[f(x)]\u207f\u207a\u00b9\/(n+1) + C<\/td><\/tr><tr><td>e\u02e3[f(x) + f'(x)]<\/td><td>e\u02e3\u00b7f(x) + C<\/td><\/tr><tr><td>sin(2x)<\/td><td>2\u00b7sin x\u00b7cos x \u2014 simplify first<\/td><\/tr><tr><td>cos\u00b2x or sin\u00b2x<\/td><td>Use half-angle: (1\u00b1cos2x)\/2<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Getting comfortable with these patterns is what separates students who score 160+ in Maths from those who max out around 120. If your recognition speed is the bottleneck, drill it against <a href=\"https:\/\/vidyamandir.com\/studyhub\/pyqs-for-jee-main-revision\/\">PYQs during JEE Main revision<\/a> rather than fresh problem sets.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>How are differential equations connected to integration?<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">While technically a separate chapter, differential equations are deeply tied to integration and appear in every JEE paper.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th><strong>Type<\/strong><\/th><th><strong>Method<\/strong><\/th><\/tr><\/thead><tbody><tr><td>Variable Separable: dy\/dx = f(x)\u00b7g(y)<\/td><td>Separate and integrate both sides<\/td><\/tr><tr><td>Homogeneous: dy\/dx = f(y\/x)<\/td><td>Substitute y = vx<\/td><\/tr><tr><td>Linear: dy\/dx + P(x)\u00b7y = Q(x)<\/td><td>Multiply by IF = e^\u222bP(x)dx<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>How do you build your own integration cheat sheet PDF for JEE?<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Here&#8217;s a practical revision approach that actually works.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Write, don&#8217;t type.<\/strong> Physically writing each formula 3\u20134 times during your revision weeks builds recall far better than re-reading notes.<\/li>\n\n\n\n<li><strong>Tag every formula to a PYQ.<\/strong> For every formula you revise, recall or look up one previous-year JEE question that used it \u2014 the <a href=\"https:\/\/vidyamandir.com\/studyhub\/top-50-important-pyqs-jee-advanced\/\">top 50 important PYQs for JEE Advanced<\/a> are a good starting bank. Your brain then stores the formula with context, making retrieval during the exam almost automatic.<\/li>\n\n\n\n<li><strong>Group by technique, not by formula.<\/strong> Create separate sections in your cheat sheet for Substitution problems, IBP problems, Properties-based problems, and Partial Fractions. This is how exam questions are actually structured, and it is the same logic behind <a href=\"https:\/\/vidyamandir.com\/studyhub\/smart-short-notes-jee-revision\/\">smart short notes for JEE revision<\/a>.<\/li>\n\n\n\n<li><strong>Solve 30\u201350 mixed problems daily in the final 60 days.<\/strong> The goal is pattern recognition speed, not just formula memorisation. Logging what goes wrong in an <a href=\"https:\/\/vidyamandir.com\/studyhub\/error-tracking-system-for-jee-preparation\/\">error tracking system<\/a> keeps the same mistake from repeating.<\/li>\n\n\n\n<li><strong>Review recent years of JEE Main and JEE Advanced integration questions.<\/strong> You&#8217;ll start noticing that a large share of problems repeat the same handful of core patterns \u2014 a habit worth extending to full-length <a href=\"https:\/\/vidyamandir.com\/studyhub\/jee-advanced-mock-tests\/\">JEE Advanced mock tests<\/a>.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Revision checklist<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th><strong>Stage<\/strong><\/th><th><strong>What to do<\/strong><\/th><th><strong>Done?<\/strong><\/th><\/tr><\/thead><tbody><tr><td>Week 1<\/td><td>Memorise both formula tables; write each set 3\u20134 times<\/td><td>\u2610<\/td><\/tr><tr><td>Week 2<\/td><td>One technique per day; 15 problems each<\/td><td>\u2610<\/td><\/tr><tr><td>Week 3<\/td><td>Definite-integral properties only, including King&#8217;s Property<\/td><td>\u2610<\/td><\/tr><tr><td>Week 4<\/td><td>Pattern-recognition table, timed; 30\u201350 mixed problems daily<\/td><td>\u2610<\/td><\/tr><tr><td>Ongoing<\/td><td>Tag every formula to a PYQ; log every error<\/td><td>\u2610<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Slot this into your wider plan using the <a href=\"https:\/\/vidyamandir.com\/studyhub\/jee-preparation-guide\/\">JEE preparation guide<\/a>, and if you are entering the final stretch, the <a href=\"https:\/\/vidyamandir.com\/studyhub\/last-20-days-maths-strategy-jee-main\/\">last 20 days Maths strategy for JEE Main<\/a> tells you what to keep and what to drop.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Integration for JEE 2026: frequently asked questions<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Q1. How many questions come from integration in JEE Main?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Recent trends suggest 2\u20134 questions per session come directly from definite and indefinite integration, plus another 1\u20132 from area under curves. Taken together, calculus stays one of the largest contributors to the Mathematics section, which is why the chapter rewards steady revision rather than last-week cramming.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>Related:<\/em> <a href=\"https:\/\/vidyamandir.com\/studyhub\/jee-main-exam-pattern\/\">JEE Main exam pattern<\/a> <em>and<\/em> <a href=\"https:\/\/vidyamandir.com\/studyhub\/jee-main-2026-session-1-maths-high-weightage-topics\/\">high-weightage Maths topics for JEE Main<\/a><em>.<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Q2. Is integration more important for JEE Main or JEE Advanced?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">It matters in both papers, for different reasons. JEE Main rewards speed and formula accuracy, so recall has to be instant. JEE Advanced shifts the focus to applying properties of definite integrals across multi-step problems, which makes King&#8217;s Property and symmetry-based shortcuts essential practice for Advanced preparation.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>Related:<\/em> <a href=\"https:\/\/vidyamandir.com\/studyhub\/jee-advanced-new-exam-pattern\/\">the JEE Advanced exam pattern<\/a><em>.<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Q3. What is the ILATE rule, and is it always reliable?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">ILATE stands for Inverse trigonometric, Logarithmic, Algebraic, Trigonometric and Exponential. It guides which function to differentiate while using integration by parts, and it holds in the vast majority of cases. A few special integrals, such as \u222be\u02e3[f(x)+f'(x)]dx, are solved by a direct result instead of step-by-step IBP.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Q4. Which integration technique comes up most in JEE Advanced?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Properties of definite integrals dominate \u2014 especially King&#8217;s Property and the even\/odd function properties. Problems that look impossible on first reading often collapse once the right property is applied. That is exactly why drilling properties gives you a bigger return in Advanced than memorising an ever-longer list of formulas.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Q5. What is King&#8217;s Property in definite integration?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">King&#8217;s Property states that \u222b\u2090\u1d47 f(x)dx = \u222b\u2090\u1d47 f(a+b\u2212x)dx. Replacing x with (a+b\u2212x) and then adding the original and transformed integrals often makes the tricky part of the function cancel out, which is why it is the single most useful trick in JEE integration.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Q6. Should I make a handwritten integration cheat sheet PDF for JEE, or use a printed one?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Use both. A printed or downloaded JEE integration formulas PDF works well for first reference and for spotting gaps in your list. The handwritten version is for revision: writing forces your brain to process each formula differently and retains far better than passive re-reading.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Q7. How many integration problems should you solve daily before the exam?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In the final 60 days, aim for 30\u201350 mixed problems a day. The target is pattern-recognition speed, not formula memorisation alone, so keep the set mixed across substitution, integration by parts, partial fractions and properties rather than practising one technique in isolation.<\/p>\n\n    <div class=\"xs_social_share_widget xs_share_url after_content \t\tmain_content  wslu-style-1 wslu-share-box-shaped wslu-fill-colored wslu-none wslu-share-horizontal wslu-theme-font-no wslu-main_content\">\n\n\t\t\n        <ul>\n\t\t\t        <\/ul>\n    <\/div> \n","protected":false},"excerpt":{"rendered":"<p>Quick answerIntegration is one of the highest-scoring areas in JEE Mathematics. Most questions in JEE Main and JEE Advanced follow repeatable patterns, so the fastest route to marks is a short list of standard formulas, four core techniques, and the properties of definite integrals \u2014 practised until recognition becomes automatic. Let&#8217;s be honest \u2014 integration [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":21136,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"postBodyCss":"","postBodyMargin":[],"postBodyPadding":[],"postBodyBackground":{"backgroundType":"classic","gradient":""},"wpai_generated_summary":"","footnotes":""},"categories":[2759],"tags":[3241],"class_list":["post-21135","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-math","tag-integration-formulas-for-jee"],"acf":[],"_links":{"self":[{"href":"https:\/\/vidyamandir.com\/studyhub\/wp-json\/wp\/v2\/posts\/21135","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vidyamandir.com\/studyhub\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/vidyamandir.com\/studyhub\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/vidyamandir.com\/studyhub\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/vidyamandir.com\/studyhub\/wp-json\/wp\/v2\/comments?post=21135"}],"version-history":[{"count":1,"href":"https:\/\/vidyamandir.com\/studyhub\/wp-json\/wp\/v2\/posts\/21135\/revisions"}],"predecessor-version":[{"id":21137,"href":"https:\/\/vidyamandir.com\/studyhub\/wp-json\/wp\/v2\/posts\/21135\/revisions\/21137"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/vidyamandir.com\/studyhub\/wp-json\/wp\/v2\/media\/21136"}],"wp:attachment":[{"href":"https:\/\/vidyamandir.com\/studyhub\/wp-json\/wp\/v2\/media?parent=21135"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vidyamandir.com\/studyhub\/wp-json\/wp\/v2\/categories?post=21135"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vidyamandir.com\/studyhub\/wp-json\/wp\/v2\/tags?post=21135"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}