integral (2x-1) cos x dx

Integral Parsial.

∫ u dv = uv - ∫ v du
u = 2x - 1 → du = 2 dx
dv = cos x → v = sin x

∫ (2x - 1) cos x dx = (2x - 1) sin x - ∫ 2 sin x dx
= (2x - 1) sin x - 2 (-cos x) + C
= 2 (x sin x + cos x) - sin x + C

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