To determine

To find: volume of solid obtained by rotating about the x axis the region bounded by the curve y=ex, y=0, x=0 and x=1

Answer

Answer:V=10.0359

Explanation

We know that below is the formula to find the volume of the solid.

V=∫x=abπy2dx

So,

V=∫01πex2dx=π∫01e2xdx

=πe2x2+c01

=πe22+c-12+c

=π2e2-1≅10.0359

Conclusion:

V=10.0359