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Given two curves

y=e^x

y=1+2e^(-x)

The region in the first quadrant that is bounded by the y-axis and these two curves is rotated through one complete revolution about the x-axis. Calculate the exact volume of the solid generated.

My problem is, in the first quadrant, y=1+2e^(-x) seems touching the x-axis at [tex]x=\infty[/tex], so how do we find the volume?

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