∫ 1/(cos x - cos^2 x) . dx =

Question

\(\int \frac{1}{cos\,x - cos^2\,x}.dx =\)

∫ 1/(cos x - cos² x) . dx =

(a) log(cosec x – cot x) + tan(x/2) + c

(b) sin 2x – cos x + c

(c) log(sec x + tan x) – cot(x/2) + c

(d) cos 2x – sin x + c

Answer 1

Correct answer is (c) log(sec x + tan x) – cot(x/2) + c