1. The problem statement, all variables and given/known data Find the area of the surface obtained by rotating the curve y=1+5x2 from x=0 to x=8 about the y-axis 2. Relevant equations As=[tex]\int[/tex]2[tex]\pi[/tex]g(x)sqrt(1+[g'(x)]2) 3. 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.