1
KCET 2019
MCQ (Single Correct Answer)
+1
-0

$$\int_\limits0^1 \sqrt{\frac{1+x}{1-x}} d x=$$

A
$$\frac{\pi}{2}$$
B
$$\frac{\pi}{2}-1$$
C
$$\frac{1}{2}$$
D
$$\frac{\pi}{2}+1$$
2
KCET 2018
MCQ (Single Correct Answer)
+1
-0
$\int_0^1 \frac{d x}{e^x+e^{-x}}$ is equal to
A
$\frac{\pi}{4}-\tan ^{-1}(e)$
B
$\tan ^{-1}(e)-\frac{\pi}{4}$
C
$\tan ^{-1}(e)+\frac{\pi}{4}$
D
$\tan ^{-1}(e)$
3
KCET 2018
MCQ (Single Correct Answer)
+1
-0
$ \int_0^{1 / 2} \frac{d x}{\left(1+x^2\right) \sqrt{1-x^2}}$ is equal to
A
$\frac{1}{\sqrt{2}} \tan ^{-1} \sqrt{\frac{2}{3}}$
B
$\frac{2}{\sqrt{2}} \tan ^{-1}\left(\frac{3}{\sqrt{2}}\right)$
C
$\frac{\sqrt{2}}{2} \tan ^{-1}\left(\frac{3}{2}\right)$
D
$\frac{\sqrt{2}}{2} \tan ^{-1}\left(\frac{\sqrt{3}}{2}\right)$
4
KCET 2018
MCQ (Single Correct Answer)
+1
-0
$\int_{-2}^2|x \cos \pi x| d x$ is equal to
A
$\frac{8}{\pi}$
B
$\frac{4}{\pi}$
C
$\frac{2}{\pi}$
D
$\frac{1}{\pi}$
KCET Subjects
EXAM MAP