1 / 10

Integrals Related to Inverse Trig, Inverse Hyperbolic Functions

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. Identifying Patterns.

reuben-waller
Télécharger la présentation

Integrals Related to Inverse Trig, Inverse Hyperbolic Functions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

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

  5. 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

More Related