Integrate the following w. r. t. x : 1/(2 sin x + sin 2x)

Question

Integrate the following w. r. t. x :

\(\frac{1}{2\,sin\,x + sin\,2x}\)

1/(2 sin x + sin 2x)

Answer 1

1/(2 sin x + sin 2x)

Put cos x = t

∴ -sin x dx = dt

∴ sin x dx = -dt

Comparing coefficients of t² on both the sides, we get