The region bounded by the curves y = x^2 and y^2 = x is revolved about the line x = -2:

a.)Find the rectangular elements parallel to the axis of revolution.

$\displaystyle 2\pi\int_{0}^{1} (\sqrt{x} - x^2)(x - (-2))dx$

b.)Find the rectangular elements perpendicular to the axis of revolution.

$\displaystyle 2\pi\int_{0}^{1} (y^2 - \sqrt{y} - (-2))(y)dy$

can you check if its correct....