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The General Power Formula

The General Power Formula. Lesson 9.1. Power Formula … Other Views. Review. From Chapter 6 – General Power Formula Consider application to transcendental functions. Applying Power Formula. Consider Let u = sin x u 2 = sin 2 x Then what is du?. du = cos x dx.

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The General Power Formula

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  1. The General Power Formula Lesson 9.1

  2. Power Formula … Other Views

  3. Review • From Chapter 6 – General Power Formula • Consider application to transcendental functions

  4. Applying Power Formula • Consider • Let u = sin x • u2 = sin2x • Then what is du? du = cos x dx

  5. Converting the ln Function • Try this … • What should we substitute for u? • What is the du? • The integration u = (ln x) du = 1/x dx

  6. Functions Involving ex • Given • What should we substitute for u? • What is the du? • The integration u = 3e3x + 1

  7. Working with Inverse Trig Functions • Given • What should we substitute for u? • What is the du? • The integration u = arctan x

  8. Application • Find the area under the curve • For 0 < x < 1 • The integral • u = ? • du = ?

  9. Assignment • Lesson 9.1 • Page 357 • 1 – 27 odd, 31

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