What is the Volume of the Solid Using Cylindrical Shells for y=-e^(-x^2)?

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sheldonrocks97
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Homework Statement



Find the volume of the solid using cylindrical shells:

y=e-x^2 y=0, x=0, x=1, about y-axis.

Homework Equations



How do I integrate xe^(-x^2)?

The Attempt at a Solution



2∏x∫0 to 1 xe^(-x^2) dx


2∏*-(e^(-1))/2)
 
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It's actually very easy think of a substitution.