Evaluate: ∫ x/(1+sin^2x) dx, x ∈ [0, π]

Question

Evaluate:

\(\int_0^{\pi} \cfrac{x}{1+sin^2x} dx\)

∫ x/(1+sin²x) dx, x ∈ [0, π]

Answer 1

Let \(I\) = \(\int_0^{\pi} \cfrac{x}{1+sin^2x} dx\)