Question

The integral ∫x/(x sin x + cos x)² dx is equal to :

(where C is a constant of integration)

(1) sec x + (x tan x/(x sin x + cos x)) + C

(2) sec x - (x tan x/(x sin x + cos x)) + C

(3) tan x + (x sec x/(x sin x + cos x)) + C

(4) tan x - (x sec x/(x sin x + cos x)) + C 

Answer 1

(4) tan x - (x sec x/(x sin x + cos x)) + C