It Can Be Shown That the Area Enclosed Between the X-Axis

Multiple Choice

It can be shown that the area enclosed between the x-axis and one arch of the sine curve is 2. Use this fact to compute the
definite integral.
- $$\int _ { - \pi / 2 } ^ { \pi / 2 } ( \cos x + 3 ) d x$$

A) 5
B) $3 \pi$
C) 0
D) $2 + 3 \pi$