1
KCET 2021
MCQ (Single Correct Answer)
+1
-0

If $$I_n=\int_0^{\frac{\pi}{4}} \tan ^n x d x$$, where $$n$$ is positive integer, then $$I_{10}+I_8$$ is equal to

A
9
B
$$\frac{1}{7}$$
C
$$\frac{1}{8}$$
D
$$\frac{1}{9}$$
2
KCET 2021
MCQ (Single Correct Answer)
+1
-0

The value of $$\int_0^{4042} \frac{\sqrt{x} d x}{\sqrt{x}+\sqrt{4042-x}}$$ is equal to

A
4042
B
2021
C
8084
D
1010
3
KCET 2020
MCQ (Single Correct Answer)
+1
-0

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

A
$$\pi$$
B
$$\frac{\pi}{2}$$
C
1
D
$$\frac{\pi^2}{2}$$
4
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
$$\frac{\pi}{8} \log 2$$
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