∫ e^x ((1 + sin x)/(1 + cos x)) dx = ?

Question

Mark (√) against the correct answer of the following:

\(\int e^x \left(\frac{1 + sin\,x}{1 + cos\,x}\right)dx = ?\)

∫ e^x ((1 + sin x)/(1 + cos x)) dx = ?

A. e^x sin\(\frac{x}{2}\) + C

B. e^x cos\(\frac{x}{2}\) + C

C. e^x tan\(\frac{x}{2}\) + C

D. None of these

Answer 1

Correct answer is C.

∫ e^x ((1 + sin x)/(1 + cos x)) dx

Formula used: