1. Inverse Trigonometric Functions: Integration
Lesson 5.8

2. Review
Recall derivatives of inverse trig functions

3. Integrals Using Same Relationships
When given integral problems, look for these patterns

4. Identifying Patterns
For each of the integrals below, which inverse trig function is involved?

5. If they are not, how are they integrated?
Warning
Many integrals look like the inverse trig forms
Which of the following are of the inverse trig forms?
If they are not, how are they integrated?

6. Try These
Look for the pattern or how the expression can be manipulated into one of the patterns

7. Completing the Square
Often a good strategy when quadratic functions are involved in the integration
Remember … we seek (x – b)2 + c
Which might give us an integral resulting in the arctan function

8. Completing the Square
Try these

9. Rewriting as Sum of Two Quotients
The integral may not appear to fit basic integration formulas
May be possible to split the integrand into two portions, each more easily handled

10. Basic Integration Rules
Note table of basic rules
Page 364
Most of these should be committed to memory
Note that to apply these, you must create the proper du to correspond to the u in the formula

11. Assignment
Lesson 5.8
Page 366
Exercises 1 – 39 odd
63, 67