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Evaluate the Integral Using Integration by Parts with the Indicated ∫6θcos⁡θdθ,u=6θ,dv=cos⁡θdθ\int 6 \theta \cos \theta d \theta , u = 6 \theta , d v = \cos \theta d \theta

Question 10

Multiple Choice

Evaluate the integral using integration by parts with the indicated choices of u and dv. ∫6θcos⁡θdθ,u=6θ,dv=cos⁡θdθ\int 6 \theta \cos \theta d \theta , u = 6 \theta , d v = \cos \theta d \theta


A) 6sin⁡θ+6cos⁡θ+C6 \sin \theta + 6 \cos \theta + C
B) 6θcos⁡θ+6sin⁡θ+C6 \theta \cos \theta + 6 \sin \theta + C
C) 6θsin⁡θ+6cos⁡θ+C6 \theta \sin \theta + 6 \cos \theta + C
D) 6sin⁡θ−6cos⁡θ+C6 \sin \theta - 6 \cos \theta + C
E) None of these

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