1. Compute the following definite integrals. Be sure to show the process of partial fractions. a. b. c. d. 2. Consider . Give a sketch of these two functions below. Then find the area bounded between...

Compute the following definite integrals. Be sure to show the process of partial fractions.

1. Compute the following definite integrals. Be sure to show the process of partial fractions. a. b. c. d. 2. Consider . Give a sketch of these two functions below. Then find the area bounded between these two graphs. Show all your work. 1. Compute the following a. b. c. (Challenging problem) 2. Revolve the about the x-axis from x=0 to 5. What is the volume of this solid? 3. Revolve the about the x-axis from x=0 to 2. What is the volume of this solid? 4. Revolve the about the y-axis from y=0 to 5. What is the volume of this solid? 5. Revolve the about the y-axis from y=-4 to 0. What is the volume of this solid?