integral (x+5) sin 2x dx

Selesaikan ∫(x + 5) sin 2x dx dengan integral parsial,
u = x + 5 → du = dx
dv = sin 2x dx → v = ∫sin 2x dx =  -1/2 cos 2x

∫u dv = uv - ∫ v du
∫(x + 5) sin 2x dx = (x + 5) × (-1/2 cos 2x) - ∫ -1/2 cos 2x dx
= -1/2(x + 5) cos 2x + 1/2 (1/2 sin 2x ) + C
= -1/2(x + 5) cos 2x + 1/4 sin 2x + C