Definite Integration
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Practice 19 COMEDK Mathematics questions from Definite Integration. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
19
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Mathematics / Calculus
2020-2026
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16
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2022-2026
19
Last 10 Years
2017-2026
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16 in last 5 years19 in last 10 years
Definite Integration Questions
Showing 19 of 19 questions on this page.
1Definite Integration
\(\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \sin ^5 x \cos ^7 x d x=\)
MCQ+1 / -02026
2Definite Integration
\(\int_0^{\frac{\pi}{2}} \frac{3 \sin x+4 \cos x}{\sin x+\cos x} d x=\)
MCQ+1 / -02026
3Definite Integration
$\int_0^\pi \frac{e^{\cos x}}{e^{\cos x}+e^{-\cos x}} d x$ is equal to
MCQ+1 / -02025
4Definite Integration
$\int\limits_{-2}^2 \frac{|x-3|}{x-3} d x=$
MCQ+1 / -02025
5Definite Integration
$\int_0^1 x(1-x)^{99} d x=$
MCQ+1 / -02025
6Definite Integration
$\int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \frac{1}{1+\sqrt{\tan x}} d x=$
MCQ+1 / -02025
7Definite Integration
$\int\limits_0^{\frac{\pi}{2}} \log \left(\frac{5+4 \sin x}{5+4 \cos x}\right) d x=$
MCQ+1 / -02025
8Definite Integration
\(\int_\limits{-1}^1 \frac{d}{d x}\left(\tan ^{-1} \frac{1}{x}\right) d x \text { is }\)
MCQ+1 / -02024
9Definite Integration
\(\text { The value of the integral } \int_\limits{\frac{1}{3}}^1 \frac{\left(x-x^3\right)^{\frac{1}{3}}}{x^4} d x \text { is }\)
MCQ+1 / -02024
10Definite Integration
\(\text { If } I_n=\int_\limits0^{\frac{\pi}{4}} \tan ^n x d x \text {, for } n \geq 2 \text {, then } I_n+I_{n-2}=\)
MCQ+1 / -02024
11Definite Integration
If \(a\) is a real number such that \(\int_\limits0^a x d x \leq a+4\) then
MCQ+1 / -02024
12Definite Integration
\(\int_\limits0^{\frac{\pi}{2}} \frac{\cos x}{1+\cos x+\sin x} d x=\)
MCQ+1 / -02024
13Definite Integration
\(\int_\limits{-\frac{\pi}{2}}^{\frac{\pi}{2}} \sqrt{\cos x-\cos ^3 x} d x \text { is equal to }\)
MCQ+1 / -02024
14Definite Integration
\(\int_0^2\left|x^2+2 x-3\right| d x \text { is equal to }\)
MCQ+1 / -02023
15Definite Integration
\(\int\limits_{-\pi / 2}^{\pi / 2} \sin ^2 x d x\) is equal to
MCQ+1 / -02023
16Definite Integration
\(\int\limits_{ - {\pi \over 2}}^{{\pi \over 2}} {\cos x\,dx}\)
MCQ+1 / -02022
17Definite Integration
\(\int_{ - \pi /2}^{\pi /2} {\sin xdx}\)
MCQ+1 / -02021
18Definite Integration
If \(k\int\limits_0^1 {x\,.\,f(3x)dx = \int\limits_0^3 {t\,.\,f(t)dt} }\), then the value of \(k\) is
MCQ+1 / -02020
19Definite Integration
The value of the integral \(\int\limits_0^{\pi /2} {({{\sin }^{100}}x - {{\cos }^{100}}x)dx}\) is
MCQ+1 / -02020
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