Evaluate the following integrals. (a)∫4x + 1/ (x-2)(x -

Last updated: 8/11/2022

Evaluate the following integrals. (a)∫4x + 1/ (x-2)(x - 3)²dx (b)∫√x ln(√x) dx (c) x⁵+x+1/x² + 2 dx 2. 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 Method You will not get credit if you use another method).