(15 points) The following integrals are very similar lookin…

 (15 points) The following integrals are very similar looking; however, they are evaluated using different methods.  Evaluate each integral in an organized manner, using a power series for exactly one of them.   (You may use any needed power series from memory.)  show all work

(12 points) CONSIDER THE REGION BOUNDED BY  the x-axis betwe…

(12 points) CONSIDER THE REGION BOUNDED BY  the x-axis between x=0 and x=2. a. Find the area of the region by evaluating an integral using SERIES. Use 10 terms and state the error of the approximation. You can use technology for this question, but document the work. b. Revolve the region around the y-axis and write an integral for the volume of it. Evaluate the volume by hand using any appropriate integration (not series) technique.