# What is the surface area of the solid created by revolving #f(x) = (3x-1)^2 , x in [1,3]# around the x axis?

##### 1 Answer

May 28, 2018

The question seems rather odd.

#### Explanation:

The formula for computing the surface area is

In your case,

Plug

This integral yields a very complicate solution, which I don't believe your homework could ever ask for. For completeness sake, you can check it from WolframAlpha