Evaluate the dirac delta integrals or explain why they diverge. Need help mainly with a, c, and e.

WO CALSCS, Z and r s 2.) 2. Evaluate the following integrals or explain why they diverge. a) of(x)'(x - 1)dr b) 57/2 J_57/2 0 27 8' (sinx)dx c) fo fo fo drdydz f(x, y, z)6(5 + 1)6(y - 3)6(V62 + 1) d) fo fo dady(12 + ry + 1)6(3. - 5)6(y) e) ff daxdys(x - 2y) cos V2ry Do this one in both orders. (That is, x-integral followed by y-integral and vice versa. ) If you don't get the same answer both ways, think carefully about your integration limits