91Ó°ÊÓ

For the following exercises, graph the equations and shade the area of the region between the curves, If necessary. break the region into sub-regions to determine its entire area. $$ y=12-x_{1} y=\sqrt{x}, \text { and } y=1 $$

For the following exercises, graph the equations and shade the area of the region between the curves, If necessary. break the region into sub-regions to determine its entire area. $$ y=\sin x \text { and } y=\cos x \text { over } x=[-\pi, \pi] $$

For the following exercises, graph the equations and shade the area of the region between the curves, If necessary. break the region into sub-regions to determine its entire area. $$ y=x^{3} \text { and } y=x^{2}-2 x \text { over } x=[-1,1] $$

For the following exercises, graph the equations and shade the area of the region between the curves, If necessary. break the region into sub-regions to determine its entire area. $$ y=x^{2}+9 \text { and } y=10+2 x \text { over } x=[-1,3] $$

For the following exercises, graph the equations and shade the area of the region between the curves, If necessary. break the region into sub-regions to determine its entire area. $$ y=x^{3}+3 x \text { and } y=4 x $$

For the following exercises, graph the equations and shade the area of the region between the curves. Determine its area by integrating over the \(y\) -axis. $$ x=y^{3} \text { and } x=3 y-2 $$

For the following exercises, graph the equations and shade the area of the region between the curves. Determine its area by integrating over the \(y\) -axis. $$ x=2 y \text { and } x=y^{3}-y $$

For the following exercises, graph the equations and shade the area of the region between the curves. Determine its area by integrating over the \(y\) -axis. $$ x=-3+y^{2} \text { and } x=y-y^{2} $$

For the following exercises, graph the equations and shade the area of the region between the curves. Determine its area by integrating over the \(y\) -axis. $$ y^{2}=x \text { and } x=y+2 $$

For the following exercises, graph the equations and shade the area of the region between the curves. Determine its area by integrating over the \(y\) -axis. $$ x=b \mid \text { and } 2 x=-y^{2}+2 $$