Volume of Region Bounded by y = e^(-x^2) and y = 0 About the y-Axis

[whatlifeforme]

Homework Statement

find the volume of the region bounded by the graph of the given equations about the y-axis.

Homework Equations

y=e^(-x^2)
y=0
x=0
x=1

The Attempt at a Solution

2pi (integral) (0 to 1) x(e^(-x^2)) dx

not sure how to do this integral.

 

[STEMucator]

Start by substituting u = -x^2.