1. 6.3– Integration By Parts

2. I. Evaluate the following indefinite integral Any easier than the original???

4. The choice of u and dv are very important!!!! The idea is to let dv be the easier function to integrate, as well as letting u be the function that produces a simpler derivative.

5. The Integration by Parts formula is a “product rule” for integration. u differentiates to zero (usually). dv is easy to integrate. Choose u in this order: LIPET Logs, Inverse trig, Polynomial, Exponential, Trig

6. EX. 2 -

7. EX. 3 -

8. II. Tabular Integration - “Tic – Tac – Toe!” EX. 1 -

9. By Tables

10. EX. 2 -

11. TABLES ONLY WORK FOR REPEATED INTEGRATION BY PARTS WHEN ONE OF THE FUNCTIONS DERIVATIVES EVENTAULLY EQUALS 0!!!!!!!!!

12. For example…

13. EX. 3 - III. Repeated Integration by Parts