# What is the surface area of the solid created by revolving #f(x) =e^(4x)-x^2e^(2x) , x in [1,2]# around the x axis?

##### 1 Answer

Jul 2, 2018

Given that

Volume of solid obtained by revolving the above curve about the x-axis between

The surface area is given as

Solving above integral is much more complicated which can't be solved by elementary method