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Integration by Parts & Trig Functions

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Presentation on theme: "Integration by Parts & Trig Functions"— Presentation transcript:

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

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

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

4 Integration by Parts Integrate:

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

6 Integrate: You can also use u-substitution!

7 Integration by Parts Examples:

8 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.

9 Integrate: Solution:

10 Or you can use Integration by Parts


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