Evaluate the following integrals: a) fall spaces (r2 + r. a+ a2)o3 (r- a) d-e, where a is a fixed vector, a is its magnitude, and the integral is over all space.
b) fv lr- bl 283 (5r) d-e, where V is a cube of side 2, centered on the origin, and b=4y+3Z.
c) fv [r 4 + r 2 (r. c)+ c4] o3 (r- c) d-e, where V is a sphere of radius 6 about the origin, c = 5 i: + 3 y + 2 z, and c is its magnitude.
d) fv r · (d- r)o3 (e- r) d-e, where d = (1, 2, 3), e = (3, 2, 1), and V is a sphere of radius 1.5 centered at (2, 2, 2).