Integrate the function fxyz7x6y over the solid given by a pi
Integrate the function f(x,y,z)=?7x+6y over the solid given by a \"pie slice\" bounded on the bottom by the plane z=0, on the top by the plane z=5, on the sides by the planes y=(1/1)x and y=(-1/1)x, and contained by the cylinder centered on the z-axis and passing through the point (3,3,0). (Only consider y>0.)
Solution
volume of solid is 1/4**3^2*5=35.325
