Question

интеграл [(sin(2*x))/(sin^2(x))] * dx

Answer 1

$\int{frac{sin2x}{sin^2x}}, dx=(*)\ t=sin^2x=(sin x)^2\ dt=2sin x cos x=sin 2x \ (*)=int{frac{dt}{t}}=\ ln |t|+C=\ ln |sin^2 x|+C \2ln|sin x|+C$