1. Integration by Parts Practice: Evaluate each of the problems below. (When problems are present in Stewart, a book reference is included) For studying purposes be sure you are familiar with the strategies for solving problems involving transcendental polynomial products, 'Inak- ing something from nothing', and cyclic integration by parts for exponential trig products. [a] Analyze the following family of improper integrals. (They are improper when \"p > 0 as written]. 1 1 f1}? (NOTE: THIS IS NOT EXACTLY THE SAME AS THE PROBLEM COM- PLETED IN LECTURE, THE PROCESS IS SIMILAR, BUT THE RESULTS ARE DIFFERENT. DO NOT COPY THE RESULTS FROM YOUR NOTES.) do: i. Use a limit operation to extract the part of the domain where the integrand has a discontinuity. ii. Cempute the integral assuming 30 is a constant parameter and use the limit to determine when this integral converges or diverges. iii. Note that p = 1 must be integrated differently. Use any appropriate results to determine whether the integral converges when p = 1. iv. Compare the results here with the convergence results for the improper integral family considered in lecture