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## Homework Statement

Find the area of the surface obtained from rotating the curve x = ln(y) - y^2/8 on [1,e] about the y-axis.

## Homework Equations

SA = [itex]\int 2\pi*(f(x))*\sqrt{1+[f'(x)]^2}dx[/itex]

## The Attempt at a Solution

SA = [itex]\int 2\pi*(ln(y) - \frac{y^2}{8}))*\sqrt{1+\frac{9}{16*y^2}}dy[/itex] from 1 to e

I don't know how to solve this integral, which makes me thing I set it up wron.g