integral (sin 4 2x - cos 4 2x) dx tolong di bantu ya, makasih

jawab

∫ (sin⁴ 2x - cos⁴ 2x) dx =

= (sin² 2x + cos² 2x)(sin² 2x - cos² 2x) dx
=  (1)(- 1)(cos² 2x - sin² 2x)
= - cos 2(2x)
= - cos 4x

∫ (sin⁴ 2x - cos⁴ 2x) dx =  ∫ - cos 4x dx = - 1/4 sin (4x) + c