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

The value of $$\int \frac{x e^x d x}{(1+x)^2}$$ is equal to

A
$$e^x(1+x)+C$$
B
$$e^x\left(1+x^2\right)+C$$
C
$$e^x(1+x)^2+C$$
D
$$\frac{e^x}{1+x}+C$$
2
KCET 2021
MCQ (Single Correct Answer)
+1
-0

The value of $$\int e^x\left[\frac{1+\sin x}{1+\cos x}\right] d x$$ is equal to

A
$$e^x \tan \frac{x}{2}+C$$
B
$$e^x \tan x+C$$
C
$$e^x(1+\cos x)+C$$
D
$$e^x(1+\sin x)+C$$
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