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

$$\int_\limits{-3}^3 \cot ^{-1} x d x=$$

A
$$6\pi$$
B
$$3\pi$$
C
3
D
0
2
KCET 2019
MCQ (Single Correct Answer)
+1
-0

$$\int_\limits0^2\left[x^2\right] d x=$$

A
$$5-\sqrt{2}+\sqrt{3}$$
B
$$5-\sqrt{2}-\sqrt{3}$$
C
$$-5-\sqrt{2}-\sqrt{3}$$
D
$$5+\sqrt{2}-\sqrt{3}$$
3
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
$$\frac{\pi}{2}+1$$
4
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
$\tan ^{-1}(e)$
KCET Subjects
EXAM MAP