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 $\int 7 e^{\cos x} \sin x dx$ can be solved by recognizing it as a direct application of integration by substitution. Let $u = \cos x$, then $du = -\sin x dx$. The integral becomes $-7 \int e^u du$, which evaluates to $-7e^u + C$, or substituting back for $u$, $-7e^{\cos x} + C$.

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

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