# What is the surface area of the solid created by revolving #f(x)=e^(x+1)/(x+1)# over #x in [0,1]# around the x-axis?

##### 1 Answer

Nov 28, 2016

The area of the solid of revolution around the x-axis of a curve is calculated as:

#### Explanation:

Substitute

We can calculate this integral by parts:

so