Use a table of integrals to evaluate the integral. Select the correct answer.
$$\int e ^ { - 7 x } \sin 3 x d x$$
A) $- \frac { 1 } { 10 } e ^ { - 7 x } ( 7 \sin 3 x + 7 \cos 3 x ) + C$
B) $- \frac { 1 } { 10 } e ^ { - 7 x } ( 7 \sin 3 x + 3 \cos 3 x ) + C$
C) $- \frac { 1 } { 58 } e ^ { - 7 x } ( 7 \sin 3 x + 7 \cos 3 x ) + C$
D) $- \frac { 1 } { 58 } e ^ { - 7 x } ( 7 \sin 3 x + 3 \cos 3 x ) + C$

Question

Quizplus · Accepted Answer

Using the table of integrals, we have
$$\int e ^ { - 7 x } \sin 3 x d x = - \frac { 1 } { 58 } e ^ { - 7 x } ( 7 \sin 3 x + 3 \cos 3 x ) + C$$

Use a Table of Integrals to Evaluate the Integral ∫e−7xsin⁡3xdx\int e ^ { - 7 x } \sin 3 x d x∫e−7xsin3xdx

Use a Table of Integrals to Evaluate the Integral $\int e ^ { - 7 x } \sin 3 x d x$