1. Integrals Related to Inverse Trig, Inverse Hyperbolic Functions
Lesson 9.5

2. Review
Recall derivatives of inverse trig functions

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

4. Hint: use completing the square
Identifying Patterns
For each of the integrals below, which inverse trig function is involved?
Hint: use completing the square

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. Integrals Involving Inverse Hyperbolic Functions

8. Try It! Note the definite integral What is the a, the u, the du?
a = 3, u = 2x, du = 2 dx

9. Application Find the area enclosed by x = -¼, x = ¼, y = 0, and
Which pattern does this match?
What is the a, the u, the du?

10. Assignment
Lesson 9.5
Page 381
Exercises 1 – 35 odd