Evaluate: ∫cos θ/(4 sin^2 θ) (5-4 cos^2 θ) dθ

Question

Evaluate: ∫\(\frac{cos \ \theta}{(4+sin^2\ \theta) (5-4 \ cos^2 \ \theta)} \) dθ

Answer 1

Let I =   ∫\(\frac{cos \ \theta}{(4+sin^2\ \theta) (5-4 \ cos^2 \ \theta)} \) dθ