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**finding volume by integration**

**1. Homework Statement**

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!!!!

amd

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