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Understanding Antiderivatives in Calculus

Explore antiderivatives and indefinite integration in calculus, including integral signs, variables of integration, and examples to understand the concepts thoroughly.

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Understanding Antiderivatives in Calculus

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  1. AP Calculus Mx. Hartzer, Hamtramck High School 2018-19

  2. DO NOW: Differentiate:

  3. Today’s Objective • Students will: Examine antiderivatives and indefinite integration.

  4. Today’s Agenda • Do Now • Notes

  5. Antiderivative A function is an antiderivative of on interval if

  6. Antiderivative If , where is a constant and is an antiderivative of , then is also an antiderivative of .

  7. The Integral Sign Variable of integration Antiderivative of Integral Sign Constant of Integration Integrand

  8. Examples Find:

  9. Examples Find:

  10. Examples Find:

  11. Examples Find:

  12. Examples Find:

  13. Examples Find:

  14. Examples Find:

  15. Homework p. 255 9-33 odd

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