Integrate the following w.r.t. x: 1/(2 cos x + 3 sin x)

Question

Integrate the following w.r.t. x:

\(\frac{1}{2\,cos\,x + 3\,sin\,x}\)

1/(2 cos x + 3 sin x)

Answer 1

Let I = ∫ 1/2 cos x + 3 sin x dx = ∫ 1/3 sin x + 2 cos x dx

Dividing numerator and denominator by

Alternative Method :