For each of the following, set up the integral of an arbitrary function over the region in whichever of rectangular or polar coordinates is most appropriate. (Use for in your expressions.)

(a) The region

a rectangular region with diagonally opposite corners (1,0) and (4,y1).
With , ,
, and ,
integral =

(b) The region

a sector of a circle of radius 3 centered at the origin, with radial endpoints (3/2,sqrt(3)3/2) and (0,3).
With , ,
, and ,
integral =

You can earn partial credit on this problem.