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Integrals
JEE Advanced · Mathematics · 61 past questions
Topic
Definite integrals using symmetry and properties
14
Evaluating definite and indefinite integrals
14
Integral equations and functions defined by integrals
14
Fundamental theorem and differentiation of integrals
5
Inequalities and estimation of integrals
5
Limits of sums as integrals
5
Area and passage-based or matching problems
4
Level
Easy
2
Moderate
9
Tough
3
Year
2026
1
2025
0
2024
2
2023
0
2022
0
2021
1
2020
0
2019
2
2018
0
2017
0
2016
1
2015
2
2014
0
2013
0
2012
1
2011
2
2010
1
2009
1
2008
0
2007
0
14 of 61 ·
show all
Q1
2026 Paper 2
The value of the definite integral…
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Q4
2024 Paper 2
PARAGRAPH “II”…
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Q5
2024 Paper 2
PARAGRAPH “II”…
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Q14
2021 Paper 2
For any real number $x$, let $[x]$ denote the largest integer less than or equal to $x$. If…
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Q17
2019 Paper 1
If…
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Q19
2019 Paper 2
The value of the integral $$\int_0^{\pi/2}…
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Q26
2016 Paper 2
The value of $\int_{-\pi/2}^{\pi/2} \frac{x^2 \cos x}{1+e^x}\,dx$ is equal to
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Q27
2015 Paper 1
Let $f:\mathbb{R}\to\mathbb{R}$ be a function defined by…
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Q31
2015 Paper 2
The option(s) with the values of $a$ and $L$ that satisfy the following equation…
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Q46
2012 Paper 2
The value of the integral $\int_{-\pi/2}^{\pi/2} \left(x^2 + \ln\frac{\pi + x}{\pi - x}\right)\cos x \, dx$ is
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Q49
2011 Paper 1
The value of…
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Q50
2011 Paper 2
Let $f:[-1,2]\to[0,\infty)$ be a continuous function such that $f(x)=f(1-x)$ for all $x\in[-1,2]$. Let…
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Q53
2010 Paper 1
For any real number x, let [x] denote the largest integer less than or equal to x. Let f be a real valued…
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Q54
2009 Paper 2
If…
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