5. 4.5 Integration by Substitution Part 2 Trig Feb 10.notebook 1 February 10, 2017 4.5 Integration by Substitution Part 2
5. 4.5 Integration by Substitution Part 2 Trig Feb 10.notebook
1
February 10, 2017
4.5 Integration by Substitution Part 2
5. 4.5 Integration by Substitution Part 2 Trig Feb 10.notebook
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February 10, 2017
Trigonometric Substitution
A) B)
5. 4.5 Integration by Substitution Part 2 Trig Feb 10.notebook
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February 10, 2017
C) D)
Steps for USubstitution and Integration
1. Choose a substitution (Usually ) Note: It generally works best to let be the inner portion of composite function.
2. Compute
3. Rewrite the integral in terms of the variables and . (If not possible try to rewrite in terms of instead:( (If still no cannot be done by substitution)
4. Determine resulting integral in terms of .
5. Rewrite integral in terms of to determine the antiderivtive of .
6. Check by differentiating.