Integral sin^4 2x Cot^2 x dx

jawab

∫ sin⁴ (2x) . cos (2x) dx

u = sin 2x
du = 2 cos 2x dx
cos 2x dx = 1/2 du

= ∫ 1/2  u⁴ du

= 1/2 (1/5)(u)⁵ + c
= 1/10  sin⁵ (2x) + c