Use a table of integrals to evaluate the integral. $\int e^{-7 x} \sin 3 x d x$
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 can see that $\int e^{-7x} \sin(3x) dx = -\frac{1}{58}e^{-7x}(7\sin(3x) + 3\cos(3x)) + C$. Therefore, the correct choice is D.

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 $\int e^{-7 x} \sin 3 x d x$