12. Find the total area of the shaded region bounded by the following curves.
$\qquad x = 24y^2 - 8y^3$
$\qquad x = 4y^2 - 12y$
Set up the integral(s) that will give the area of the region. Select the correct choice below and fill in the answer boxes to complete your
choice.
A.
$\qquad \int_0^{\Box} \Box \, dx + \int_\Box^{\Box} \Box \, dx$
B.
$\qquad \int_\Box^{\Box} \Box \, dy$
C.
$\qquad \int_\Box^{\Box} \Box \, dx$
D.
$\qquad \int_{-36}^{\Box} \Box \, dy + \int_\Box^{36} \Box \, dy$
Find the area by evaluating the integral.
The area is $\Box$
(Type an integer or a simplified fraction.)
