BITSAT · Mathematics
Definite Integration
24 practice questions for BITSAT — 17 easy · 6 medium · 1 hard. Every question is graded instantly with a step-by-step solution when you miss it.
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MCQ
$\int_0^{\frac{\pi}{2}} \frac{\sin \left(\frac{\pi}{4}+x\right)+\sin \left(\frac{3 \pi}{4}+x\right)}{\cos x+\sin x} d x=$
MCQ
$\(\int$ 4 $\cos$ $\left(x+\frac{\pi}{6}\right)$ $\cos$ 2 x $\cdot$ $\cos$ $\left(\frac{5$ $\pi}{6}+x\right)$ d x\)
MCQ
The value of definite integral $\int_0^{\pi / 2} \log (\tan x) d x$ is
MCQ
$\int_0^{\infty} \frac{d x}{\left(x^2+a^2\right)\left(x^2+b^2\right)}$ is
MCQ
The integral $\int \frac{x^2\left(x \sec ^2 x+\tan x\right)}{(x \tan x+1)^2} d x$ is equal to
MCQ
$\int_5^9 \frac{\log 3 x^2}{\log 3 x^2+\log \left(588-84 x+3 x^2\right)} d x$ is equal to
MCQ
$\int_0^{\frac{\pi}{2}} \frac{\sin \left(\frac{\pi}{4}+x\right)+\sin \left(\frac{3 \pi}{4}+x\right)}{\cos x+\sin x} d x=$
MCQ
$\lim _{n \rightarrow \infty} \prod_{r=3}^{\infty} \frac{r^3-8}{r^3+8}$ equals to
MCQ
$\int_0^{\pi / 4} \cos x e^{\sin x} d x$ is equal to
MCQ
Evaluate: $\int_{0}^{\pi} \frac{1}{5+4 \cos x} d x$
MCQ
$\int_{-a}^{4}\left(x^{8}-x^{4}+x^{2}+1\right) d x=2 \int_{0}^{4}\left(x^{8}-x^{4}+x^{2}+1\right) d x$ then $a=$
MCQ
$\int_{\pi / 3}^{\pi / 2} x \sin (\pi[x]-x) \mathrm{dx}$ is equal to