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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.

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Integrals Related to Inverse Trig, Inverse Hyperbolic Functions

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  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

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