Posted by Caitlin on Wednesday, June 6, 2012 at 10:21am.
Each cross section (from x=0 to x=1) is a square of side √x.
So the total volume is the area of the square times dx, or A(x)dx
V=∫ (√x)^2dx from x=0 to 1
=∫ xdx
=[x²/2] from 0 to 1
= 1/2
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