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Homework Help: Quick cal question (probably simple

  1. Feb 25, 2008 #1
    1. The problem statement, all variables and given/known data
    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

    2. Relevant equations
    Integral of A(x)dx

    3. 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?
  2. jcsd
  3. Feb 25, 2008 #2


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