I wrote this set of exercises for my students so they could practice recognizing when to do a substitution versus when to just use some algebra (long division, completing the square, expanding a binomial, etc.) or an inverse trig function as part of the integration process. This circuit contains 22 indefinite integrals that are all "rational" in form. I have been intentional in my choices and made many of the integrands extremely similar. Questions 21 and 22 require the method of partial frac