Integration by Parts & Trig Functions Chapter 7.1 March 22, 2007

Integration by Parts Evaluate: Chapter 7.1 March 22, 2007 Integration by Parts Evaluate: Choose u (to differentiate (“du”)) dv (to integrate (“v”))

Integration by Parts Evaluate: Choose u (to differentiate (“du”)) dv (to integrate (“v”))

Integration by Parts Integrate:

Integrate: Choose u (to differentiate (“du”)) dv (to integrate (“v”))

Integrate: You can also use u-substitution!

Integration by Parts Examples:

Trig Functions: (also on Day 10) Recall that when a trig integral has ODD powers, we save one term for the “du” and replace the remaining even powers with: And when a trig integral has EVEN powers, we use the following trig identities to integrate.

Integrate: Solution:

Or you can use Integration by Parts