Question

Please help in really stuck ​

Answer 1

$\int\limits {\pi y^2} \, dy$

y = 2 + x^6

y - 2 = x^6

x = (y - 2)^1/6

$\pi \int\limits^3_2 {(y - 2)^{1/6}} \, dx$

Well, solving this integral

$\pi \int\limits^3_2 {(y - 2)^{1/6}} \, dx$ = 2,69279