Question

Determine the area of the shaded region in the figure. What is the area of the region in terms of $x$? $\qquad A. \int_{-12}^2 (\sqrt{x+12}) dx + \int_{-3}^2 (\sqrt{x+12}-x) dx$ $\qquad C. 2 \int_{-12}^2 \sqrt{x+12} dx + \int_{-3}^2 (\sqrt{x+12}-x) dx$ What is the area of the region in terms of $y$? $\qquad A. \int_{-3}^4 y dy + \int_{-3}^4 (y^2 - 12) dy$ $\qquad C. \int_{-3}^4 (y^2 - 12 - y) dy$ The area of the shaded region is $ (Type an exact answer)

          Determine the area of the shaded region in the figure.
What is the area of the region in terms of $x$?
$\qquad A. \int_{-12}^2 (\sqrt{x+12}) dx + \int_{-3}^2 (\sqrt{x+12}-x) dx$
$\qquad C. 2 \int_{-12}^2 \sqrt{x+12} dx + \int_{-3}^2 (\sqrt{x+12}-x) dx$
What is the area of the region in terms of $y$?
$\qquad A. \int_{-3}^4 y dy + \int_{-3}^4 (y^2 - 12) dy$
$\qquad C. \int_{-3}^4 (y^2 - 12 - y) dy$
The area of the shaded region is $
(Type an exact answer)