Section 13.3 #20

Graph and Volume Calculation

>	with(plots):

>	plot3d(x^2,x=0..sqrt(4*y-y^2),y=0..4,filled=true,axes=boxed);

Notice that the iterated integral does represent the volume of a solid (shown above).

>	Int(Int(x^3*(cos(y))^2,x=0..4*sin(y)),y=0..Pi/2);

>

value(%);

>