Question

What is the average value of y for the part of the curve y = 4x − x^3 that is in the first quadrant?

Answer 1

since there are roots at 0 and 2, integrate from 0 to 2 and divide by the interval length (2).

(2x^2 - 1/4 x^4)[0,2]/2 = 4/2 = 2