∫ (sin x)/(1 + sin x) dx = ?

Question

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

\(\int \frac{sin\,x}{(1 + sin\,x)}dx = ?\)

∫ (sin x)/(1 + sin x) dx = ?

A. x + tan x – sec x + C

B. x – tan x – sec x + C

C. x – tan x + sec x + C

D. None of these

Answer 1

Given = \(\int \frac{sin\,x}{(1 + sin\,x)}dx\)

∫ (sin x)/(1 + sin x) dx

where c is the integrating constant.