1. Integrating Exponential Functions TS: Making decisions after reflection and review

2. Objective  To evaluate the integrals of exponential and rational functions.

3. Exponential Functions What does ? What’s a function whose derivative is e x ? Exponential Rule of Integration

4. Exponential Functions

5. Test: Take the derivative of the choice of u. If you cannot find it elsewhere in the integrand, then use a different expression for u. Testing Zone: This expression is off only by a constant multiple.

6. Exponential Functions

7. Conclusion  Integration by substitution is a technique for finding the antiderivative of a composite function.  Experiment with different choices for u when using integration by substitution.  A good choice is one whose derivative is expressed elsewhere in the integrand.