Question

Hasil integral sin(1/2 x- pi)cos(1/2 x- )dx

Answer 1

Verified answer

Dsin (1/2 x - π) = (1/2) cos (1/2 x - π) dx

2 dsin (1/2 x - π) = cos (1/2 x - π) dx

∫ sin (1/2 x - π) cos (1/2 x - π) dx
= 2 ∫ sin (1/2 x - π) dsin (1/2 x - π)
= 2/(1 + 1) . (sin (1/2 x - π))^(1 + 1) + C
= sin² (1/2 x - π) + C