Integrals Related to Inverse Trig, Inverse Hyperbolic Functions Lesson 9.5

Review Recall derivatives of inverse trig functions

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

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

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?

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

Integrals Involving Inverse Hyperbolic Functions

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

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?

Assignment Lesson 9.5 Page 381 Exercises 1 – 35 odd