Posted by patrick on Monday, February 7, 2011 at 1:19am.
y = x^2 = sqrt(8x)
x^4 = 8x
(x^3 - 8)*x = 0
x = 0 or 2
For the area between the curves, integrate
(8x)^(1/2) - x^2
from 0 to 2.
sqrt8*2^(3/2)/(3/2) - (2^3)/3
= 16/3 - 8/3 = 8/3
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