JEE MAINS PRACTICE · Mathematics

Indefinite Integration

429 practice questions for JEE Mains Practice — 202 easy · 202 medium · 25 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
The value of $\int \frac{\cos x+x \cos x}{x^2+x \cos x} d x$ is
MCQ
$\int\left(e^{a \log x}+e^{x \log a}\right) d x$ is equal to
MCQ
Evaluate $\int \frac{(x-1) e^x}{(x+1)^3} d x$
MCQ
$\int \frac{\sqrt{\tan x}}{\sin x \cos x} d x$ 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 $\frac{1}{x(x+1)(x+2) \ldots(x+n)}=\frac{A_0}{x}+\frac{A_1}{x+1}$ $+\frac{A_2}{x+2}+\ldots+\frac{A_n}{x+n}$ then $A_r$ is equal to
MCQ
$\int \frac{x^2+4}{x^4+16} d x$ is equal to
MCQ
$\int \frac{x^2}{\left(x^2+2\right)\left(x^2+3\right)} d x$ 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
$\int x^x \log (e x) d x$ is equal to
MCQ
If $I_n=\int \sin ^n x d x$, then $n I_n-(n-1) I_{n-2}$ equals
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