Indefinite Integrals PYQs - Last 10 Years
WB JEE / Mathematics / Calculus / 18 recent questions
MathematicsCalculus2017-2026
Practice 18 WB JEE Mathematics questions from Indefinite Integrals. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
18
PYQs on Page
Mathematics / Calculus
2017-2026
Year Range
Based on indexed question metadata
8
Last 5 Years
2022-2026
18
Last 10 Years
2017-2026
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18PYQs
MCQ100%
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#1 Unknown18
8 in last 5 years18 in last 10 years
Last 10 Years Indefinite Integrals Questions
Showing 18 of 18 filtered questions.
1Indefinite Integrals
If $\int \frac{\operatorname{cosec}^2 x-2010}{\cos ^{2010} x} d x=-\frac{f(x)}{(g(x))^{2010}}+c$, where $f\left(\frac{\pi}{4}\right)=1$; then the number of solutions of the equation $\frac{f(x)}{g(x)}=\{x\}$ in $[0,2 \pi]$ is/are (where $\{...
MCQ+1 / -0.252026
2Indefinite Integrals
\(\int \frac{\left(\sqrt[3]{x+\sqrt{2-x^2}}\right)\left(\sqrt[6]{1-x \sqrt{2-x^2}}\right)}{\sqrt[3]{1-x^2}} d x ;(x \in(0,1))=\)
MCQ+1 / -0.252026
3Indefinite Integrals
If $\int \frac{\left(1-x^2\right)}{\sqrt{x} \sqrt{\left(1+x^2\right)^3}}=\alpha \frac{x^\beta}{\left(1+x^2\right)^\gamma}+C ; \alpha, \beta, \gamma \in \mathbb{R}$ and $C$ is constant of integration, then $\alpha: \beta: \gamma$ will be
MCQ+1 / -0.252026
4Indefinite Integrals
\(\text { If } \int \frac{\log _e\left(x+\sqrt{1+x^2}\right)}{\sqrt{1+x^2}} \mathrm{~d} x=\mathrm{f}(\mathrm{g}(x))+\mathrm{c} \text { then }\)
MCQ+1 / -0.252024
5Indefinite Integrals
If \(\int {{{dx} \over {(x + 1)(x - 2)(x - 3)}} = {1 \over k}{{\log }_e}\left\{ {{{|x - 3{|^3}|x + 1|} \over {{{(x - 2)}^4}}}} \right\} + c}\), then the value of k is
MCQ+1 / -0.252023
6Indefinite Integrals
If \(I = \int {{{{x^2}dx} \over {{{(x\sin x + \cos x)}^2}}} = f(x) + \tan x + c}\), then \(f(x)\) is
MCQ+1 / -0.252023
7Indefinite Integrals
Let \(\int {{{{x^{{1 \over 2}}}} \over {\sqrt {1 - {x^3}} }}dx = {2 \over 3}g(f(x)) + c}\) ; then
(c denotes constant of integration)
(c denotes constant of integration)
MCQ+1 / -0.252022
8Indefinite Integrals
\(I = \int {\cos (\ln x)dx}\). Then I =
MCQ+1 / -0.252022
9Indefinite Integrals
If \(\int {{{\sin 2x} \over {{{(a + b\cos x)}^2}}}dx} = \alpha \left[ {{{\log }_e}\left| {a + b\cos x} \right| + {a \over {a + b\cos x}}} \right] + c\), then \(\alpha\) is equal to
MCQ+1 / -0.252021
10Indefinite Integrals
\(\int {{{f(x)\phi '(x) + \phi (x)f'(x)} \over {(f(x)\phi (x) + 1)\sqrt {f(x)\phi (x) - 1} }}dx = }\)
MCQ+1 / -0.252020
11Indefinite Integrals
y = \(\int {\cos \left\{ {2{{\tan }^{ - 1}}\sqrt {{{1 - x} \over {1 + x}}} } \right\}} dx\) is an equation of a family of
MCQ+1 / -0.252019
12Indefinite Integrals
If \(\int {{2^{{2^x}}}.\,{2^x}dx} = A\,.\,{2^{{2^x}}} + C\), then A is equal to
MCQ+1 / -0.252019
13Indefinite Integrals
If \(\int {\cos x\log \left( {\tan {x \over 2}} \right)} dx\) = \(\sin x\log \left( {\tan {x \over 2}} \right)\) + f(x), then f(x) is equal to (assuming c is a arbitrary real constant).
MCQ+1 / -0.252019
14Indefinite Integrals
If \(\int {{e^{\sin x}}} .\left[ {{{x{{\cos }^3}x - \sin x} \over {{{\cos }^2}x}}} \right]dx = {e^{\sin x}}f(x) + c\), where c is constant of integration, then f(x) is equal to
MCQ+1 / -0.252018
15Indefinite Integrals
If \(\int {f(x)} \sin x\cos xdx = {1 \over {2({b^2} - {a^2})}}\log (f(x)) + c\), where c is the constant of integration, then f(x) is equal to
MCQ+1 / -0.252018
16Indefinite Integrals
\(\int {{{{x^2} - 1} \over {{x^4} + 3{x^2} + 1}}dx}\) (x > 0) is
MCQ+1 / -0.252017
17Indefinite Integrals
Let I = \(\left| {\int {_{10}^{19}{{\sin x} \over {1 + {x^8}}}dx} } \right|\). Then,
MCQ+1 / -0.252017
18Indefinite Integrals
\(\int {\cos (\log x)dx}\) = F(x) + C, where C is an arbitrary constant. Here, F(x) is equal to
MCQ+1 / -0.252017