Evaluate the indefinite integral. $\int 7 e^{\cos x} \sin x d x$
A) $-e^{\cos x} \sin x+C$
B) $-7 e^{\cos x}+C$
C) $e^{7 \sin x}+C$
D) $7 e^{\cos x} \sin x+C$
E) $-7 \sin \left(e^{\cos x}\right)+C$

Question

Quizplus · Accepted Answer

The integral can be solved using substitution. Let $ u = \cos x $, then $ du = -\sin x \, dx $. The integral becomes $-7 \int e^u \, du = -7 e^u + C = -7 e^{\cos x} + C$.

Evaluate the Indefinite Integral ∫7ecos⁡xsin⁡xdx\int 7 e^{\cos x} \sin x d x∫7ecosxsinxdx

Evaluate the Indefinite Integral $\int 7 e^{\cos x} \sin x d x$