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Volume of a solid in first quadrant

  1. Dec 7, 2009 #1
    1. The problem statement, all variables and given/known data
    Find the volume of the solid whose base is the region in the first quadrant bounded by the curves y=x^2 and y=x, and whose cross sections perpendicular to the x-axis are squares.

    No idea what to do here
  2. jcsd
  3. Dec 7, 2009 #2


    Staff: Mentor

    Start by drawing a graph of the region. Then draw a sketch of the solid object.
  4. Dec 7, 2009 #3
    Ok, I've done that but I still don't know which equation to use and how to set it up.
  5. Dec 7, 2009 #4


    Staff: Mentor

    Your typical volume element has a base that extends from y = x^2 up to y = x, has the same height, and is [itex]\Delta x[/itex] wide. Your limits of integration are the values of x where the two curves intersect.
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