How do you find the average value of x^3 as x varies between 2 and 4?

1 Answer
Feb 7, 2017

30

Explanation:

The function is continuous in the interval [2 ,4] and the average value from x = 2 to x = 4 is the integral.

1/(4-2)int_2^4x^3dx

=1/2[1/4x^4]_2^4

=1/2[1/4xx4^4-1/4xx2^4]

=1/2(64-4)=30