Determine Whether the Function Is a Probability Density Function Over $$f ( x ) = 5 \sin 5 x \text { over } \left[ \frac { \pi } { 10 } , \frac { \pi } { 5 } \right]$$

True/False

Determine whether the function is a probability density function over the given interval.
- $$f ( x ) = 5 \sin 5 x \text { over } \left[ \frac { \pi } { 10 } , \frac { \pi } { 5 } \right]$$