Question

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

• A. $e^x\tan\frac{x}{2}+c$
• B. ex tanx +c
• C. ex (1 + cosx) +c
• D. ex (1 + sinx) +c

Answer 1

Answer: (A)

$e^x\tan\frac{x}{2}+c$

Answer 2

The correct answer is (A) : $e^x\tan\frac{x}{2}+c$.