JEE MAINS PRACTICE · Mathematics

Indefinite Integration

849 practice questions for JEE Mains Practice192 easy · 403 medium · 254 hard. Every question is graded instantly with a step-by-step solution when you miss it.

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Sample questions

MCQ
$\int \frac{2 d x}{\left(e^x+e^{-x}\right)^2}=$
MCQ
If $\int f(x) d x=F(x)$, then $\int x^3 f\left(x^2\right) d x$ is equal to
MCQ
$\int x^x \log (e x) d x$ is equal to
MCQ
$\int f(x) d x=g(x)$, then $\int \cos x f(\sin x) d x$ is equal to
MCQ
The value of $\int \frac{1}{\sin \left(x-\frac{\pi}{3}\right) \cos x} d x$ is
MCQ
Evaluate $\int(\sqrt{\tan x}+\sqrt{\cot x}) d x$
MCQ
$\int \frac{x^2}{\left(x^2+2\right)\left(x^2+3\right)} d x$ is equal to
MCQ
If $I_n=\int \sin ^n x d x$, then $n I_n-(n-1) I_{n-2}$ equals
MCQ
$\int \frac{2 d x}{\left(e^x+e^{-x}\right)^2}$ is equal to
MCQ
If $\frac{2 x+3}{(x+1)(x-3)}=\frac{a}{x+1}+\frac{b}{x-3}$, then $a+b$ is equal to
MCQ
If $\frac{e^x+2}{\left(e^x-1\right)\left(2 e^x-3\right)}=-\frac{3}{e^x-1}+\frac{B}{2 e^x-3}$, then $B$ is equal to
MCQ
If $\int \frac{\text { Th }}{x^2\left(x^n+1\right)^{\frac{1-1)}{n}}}:=-[f(x)]^{1 / n}+c$ then $f(x)$ is
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