Answer:
2 ( x sin x + cos x) + c where c is the constant of integration
Step-by-step explanation:
∫ 2x cos x dx
2 ∫ x cos x dx
Use integration by parts
u = x dv = cos x
du = 1 v = sin x
∫ u v = u v - ∫v du
∫ x cos x dx = x sinx - ∫ sin x *1
= x sin x - (- cos x)
= x sin x + cos x
2 ∫ x cos x dx = 2 ( x sin x + cos x) + c where c is the constant of integration
