(a) Evaluate

where n is an integer and D is the region bounded by the circles with center the origin and radii r and R, 0 < r < R.

(b) For what values of n does the integral in part (a) have a limit as r → 0⁺?

(c) Find

where E is the region bounded by the spheres with center the origin and radii r and R, 0 < r < R.

(d) For what values of n does the integral in part (c) have a limit as  r → 0⁺?

Transcribed Image Text:

1 dA (x² + y?)»/2 D