1. MTH 252 Integral Calculus Chapter 6 – Integration Section 6.8 – Evaluating Definite Integrals by Substitution Copyright © 2005 by Ron Wallace, all rights reserved.

2. Review: Integration by Substitution (Indefinite Integrals)

3. Integration by Substitution (Definite Integrals) Since the only difference is what to do with the limits of integration. Method 1: Find the antiderivative (i.e. indefinite integral) with c = 0 (i.e. F(x) where F’(x) = f(x) and then calculate F(b) - F(a). Method 2: Since u=g(x), determine r = g(a) and s = g(b) and then evaluate the integral

4. Integration by Substitution (Definite Integrals) – Option 2 Example