Math 2300 – Calculus II – University of Colorado
Fall 2010 – Review for Midterm I
This review is from instructor Anca Radulescu. I've included my own solutions up through the 'table of integrals' problems. (There may exist better, or more correct solutions.)
§ Substitution
Understand the concept of substitution (as a rewrite of the chain rule in terms of integrals), when to use it and how to carry it through (for both indefinite and definite integrals).
Some practice exercises: Using an appropriate substitution, show that the two integrals are identical:

Solution: If and then