# What is the volume of the solid produced by revolving #f(x)=xe^x-(x/2)e^x, x in [2,7] #around the x-axis?

##### 1 Answer

Nov 28, 2016

The volume of the solid produced by revolving around the x-axis the trapezoid of the function

#### Explanation:

Substitute

The integral is solved iteratively by parts:

Finally: