Quick cal question (probably simple

[r6mikey]

Homework Statement

The base of a soild is the region bounded by y=x^2 and y=x. Find the volume if cross sections perpendicular to the x-axis are squares

Homework Equations

Integral of A(x)dx

The Attempt at a Solution

Ok, so I have to take the integral from 0 to 1 after solving for X

since it is a square, the setup is side^2dx... For some reason i cannot figure out the value used for side using 2 functions...

I believe it should be something similar to 2(side)^2dx evaluating from 0 to 1, but what is the value for side and how was it found?

 

[Dick]

y=x^2 is below y=x between x=0 and x=1. So isn't 'side' x-x^2, the distance between them??