Find the Average Value of the Function $f ( x ) = \sin 3 x \text { on the interval } \left[ 0 , \frac { \pi } { 3 } \right]$

Multiple Choice

Find the average value of the function $f ( x ) = \sin 3 x \text { on the interval } \left[ 0 , \frac { \pi } { 3 } \right]$

A) 1
B) $\frac { 3 } { 2 }$
C) 2
D) 6
E) $\frac { 1 } { \pi }$
F) $\frac { 2 } { \pi }$
G) 0
H) $\frac { 5 } { 2 \pi }$