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

##### 1 Answer

Jan 22, 2018

I got as far as the definite integral but then I got stuck at the solution of the integral....probably there is a mistake or there is an easier way...

#### Explanation:

I considered the function and the rotation:

then I used the standard technique:

giving the expression of the surface area

which I am not able to solve!!!