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.
- $$\int _ { 0 } ^ { \pi } ( \sin x + 1 ) d x$$

A) $1 \pi$
B) 2
C) $3 \pi$
D) $2 + 1 \pi$