Indefinite Integrals PYQs - Last 5 Years
WB JEE / Mathematics / Calculus / 8 recent questions
MathematicsCalculus2022-2026
Practice 8 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.
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Mathematics / Calculus
2022-2026
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2022-2026
8
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2017-2026
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Last 5 Years Indefinite Integrals Questions
Showing 8 of 8 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