The Average Value Of $f ( x ) = 1 + \sin x$

Multiple Choice

The average value of $f ( x ) = 1 + \sin x$ on $[ 0 , \pi ]$ is

A) $\frac { 2 + \pi } { 2 }$
B) $\frac { 2 - \pi } { 2 }$
C) $\frac { \pi - 2 } { 2 }$
D) $\frac { 2 + \pi } { \pi }$
E) $\frac { 2 - \pi } { \pi }$