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

We can use substitution method here. Let $u = \cos x$ and $du = -\sin x dx$. The integral becomes
$$ \int -7 e^u du = -7 e^u + C = -7 e^{\cos x} + C $$
Thus, the correct choice is $\boxed{\text{(B)}}$.

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

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