Evaluate the Definite Integral of the Trig Function $\int _ { 0 } ^ { 5 \pi } ( - 3 \sin x + 4 \cos x ) d x$

Multiple Choice

Evaluate the definite integral of the trig function. $\int _ { 0 } ^ { 5 \pi } ( - 3 \sin x + 4 \cos x ) d x$ Use a graphing utility to verify your results.

A) $- 7$
B) $- 5$
C) $- 6$
D) $- 8$
E) $- 4$