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Finding volume

  1. Mar 12, 2008 #1
    finding volume by integration

    1. The problem statement, all variables and given/known data

    Consider the region bounded by y=e^x, the x-axis, the y-axis, and the line x = 1. A solid is created so that the given region is its base and cross-sections perpendicular to the x-axis are squares. What is the volume of a slice perpendicular to the x-axis?

    3. The attempt at a solution

    since the regions is bounde by y=e^2, y=0. and x=1,
    doesn't the volume of a slice perpendicular to the x-axis
    has to be (e^x)(e^x)dx ..(since the base and height are equal)

    so the answer should be [Integral from 0 to 1](e^(2x)) dx

    Am I wrong? I thought I set it up right but the webassign thing's
    keel saying that somethings wrong

    I'm in a hurry so please help!!!!
    Last edited: Mar 12, 2008
  2. jcsd
  3. Mar 12, 2008 #2


    User Avatar
    Science Advisor
    Homework Helper

    That looks correct to me.
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