Question

Find the average value of f ( x ) = 2 ( x 2 1 ) x 2 on [ 1 , 3 ].

Answer 1

84

Explanation:

Q: Avg val of f(x) = 2 ( x 2 1 ) x 2 = 42x (hopefully?)

(1/(3-1)) *
`\int\limits^3_1 {42x} \, dx`

1/2 * 168 = 84