JEE MAINS PRACTICE · Mathematics
Definite Integration
437 practice questions for JEE Mains Practice — 260 easy · 166 medium · 11 hard. Every question is graded instantly with a step-by-step solution when you miss it.
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MCQ
Q335 (image question)
MCQ
$\int \frac{\left(2 x^{12}+5 x^9\right)}{\left(1+x^3+x^5\right)^3} d x$ equals
MCQ
The approximate value of $\int_1^5 x^2 d x$ using trapezoidal rule with $n=4$ is
MCQ
The value of $\int_0^{\pi / 2}|\sin x-\cos x| d x$ is
MCQ
By trapezoidal rule, the approximate value of the integral $\int_0^6 \frac{d x}{1+x^2}$ is
MCQ
$\int_1^4 \log _e[x] d x$ equals
MCQ
$\int_1^e \frac{\log x}{x} d x$ is
MCQ
$\lim _{n \rightarrow \infty} \frac{1}{2}\left[\sec ^2 \frac{\pi}{4 n}+\sec ^2 \frac{2 \pi}{4 n}+\ldots+\sec ^2 \frac{n \pi}{4 n}\right]$ is equal to
MCQ
$\int_0^{\frac{3 \pi}{2}} \sin \left[\frac{2 x}{\pi}\right] \cdot d x$, where $[\cdot]$ denotes the greatest integer function, is equal to
MCQ
The value of $\int_0^{\sqrt{\ln (\pi / 2)}} \cos \left(e^{x^2}\right) 2 x e^{x^2} d x$ is
MCQ
The value of the integral $\int_{\pi / 2}^{3 \pi / 2}[\sin x] d x$, where [.] denotes the greatest integer function, is
MCQ
$\int_0^1 \sin ^{-1} x d x$ is