Use the Table of Integrals to Evaluate the Integral $\int e^{4 x} \sin 2 x d x$

Use the Table of Integrals to evaluate the integral. $\int e^{4 x} \sin 2 x d x$

A) $-\frac{1}{5} e^{4 x} \sin 2 x+\frac{1}{10} e^{4 x} \cos 2 x+C$
B) $\frac{1}{5} e^{4 x} \sin 2 x+\frac{1}{10} e^{4 x} \cos 2 x+C$
C) $\frac{1}{5} e^{4 x} \sin 2 x-\frac{3}{10} e^{4 x} \cos 2 x+C$
D) $-\frac{1}{5} e^{4 x} \sin 2 x-\frac{1}{10} e^{4 x} \cos 2 x+C$
E) $\frac{1}{5} e^{4 x} \sin 2 x-\frac{1}{10} e^{4 x} \cos 2 x+C$

Correct Answer:

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