Evaluate the Integral $\int e^{5 x} \cos 8 x d x$

Multiple Choice

Evaluate the integral. $\int e^{5 x} \cos 8 x d x$

A) $\frac{e^{5 x}(5 \sin 8 x-8 \cos 8 x) }{89}$
B) $\frac{e^{5 x}(5 \sin 8 x+8 \cos 8 x) }{89}$
C) $\frac{e^{5 x}(5 \cos 8 x+8 \sin 8 x) }{13}$
D) $\frac{e^{5 x}(5 \cos 8 x+8 \sin 8 x) }{89}$
E) $\text { None of these }$