### Home > CALC > Chapter 9 > Lesson 9.4.3 > Problem9-136

9-136.

No calculator! Calculate the average value of $y = 5x^3$ over $[ - \frac { \pi } { 4 } , \frac { \pi } { 4 } ]$ using two different methods. For each, explain your process.

$\frac{1}{\frac{\pi}{4}-\Big(-\frac{\pi}{4}\Big)}\int_{-\pi/4}^{\pi/4}5x^3dx$