1
KCET 2020
MCQ (Single Correct Answer)
+1
-0

Find the value of $$\int_0^1 \frac{\log (1+x)}{1+x^2} d x$$ is

A
$$\frac{\pi}{2} \log 2$$
B
$$\frac{\pi}{4} \log 2$$
C
$$\frac{1}{2}$$
D
$$\frac{\pi}{8} \log 2$$
2
KCET 2020
MCQ (Single Correct Answer)
+1
-0

The value of $$\int_{-\pi / 2}^{\pi / 2} \frac{\cos x}{1+e^x} d x$$ is

A
2
B
0
C
1
D
$$-$$2
3
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
4
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
$$5+\sqrt{2}-\sqrt{3}$$
KCET Subjects
EXAM MAP