Evaluate the following integrals.(a)?4x + 1/ (x-2)(x - 3)dx(b)??x ln(?x) dx(c) x?+x+1/x + 2 dx2. Let I be the region bounded by the curves y=x,

Evaluate the following integrals.(a)?4x + 1/ (x-2)(x - 3)²dx(b)??x ln(?x) dx(c) x?+x+1/x² + 2 dx2. Let I be the region bounded by the curves y=x², y = 1-x².(a) Give a sketch of the region I.For parts (b) and (c) express the volume as an integral but do not solve the integral:(b) The volume obtained by rotating I about the z-axis (Use the Washer Method. You will not get credit if you use another method).will not get credit if you use another method).(c) The volume obtained by rotating I about the line x = 2 (Use the Shell MethodYou will not get credit if you use another method).