Swap the order of integration (do not integrate); as usual, you must show work to receive credit: ∫−15∫x2+2100−3xxydydx. (b) Integrate: ∫04∫3y6ysin(x5)dxdy 2. (10 Points.) Find the volume of the intersection of x2+z2≤R2 and y2+z2≤R2. 3. (10 Points.) Set up, but do not evaluate the integral ∭Dx2yzdV, where D is the solid region formed by points that lie below x+y+3z=4, above the xy-plane, and within the vertical cylinder of radius 3 about the origin.
