# Finding Surface Area

## Homework Statement

Find the area of the surface obtained by rotating the curve y=1+5x2 from x=0 to x=8 about the y-axis

## Homework Equations

As=$$\int$$2$$\pi$$g(x)sqrt(1+[g'(x)]2)

## The Attempt at a Solution

I changed the limits to suit the y direction, the lower limit becomes 1 and the upper 321. I solved x as a function of y in order to rotate around the y axis and when I plug everything into the formula is becoems a really messy integral I can't solve. I'm sure there's an easier way.