4. Find all values of p for which the following integrals exist (i) as proper integrals (perhaps after defining ƒ at the endpoints of the interval) or (ii) as improper inte- grals. (iii) Evaluate the integrals for the values of p for which they converge. (a) 1/π 2/л (pxp-1 (b) √21 (pxp-1) 1 sin XP-2 cos COS 1 x x + xP-2 sin e-px dx (d) f' x (c) for e-m fe +) d x x dx x-Pdx (e) (e) √ x-P dx.