[tex]\int\limits {\pi y^2} \, dy[/tex]
y = 2 + x^6
y - 2 = x^6
x = (y - 2)^1/6
[tex]\pi \int\limits^3_2 {(y - 2)^{1/6}} \, dx[/tex]
Well, solving this integral
[tex]\pi \int\limits^3_2 {(y - 2)^{1/6}} \, dx[/tex] = 2,69279
