#### 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