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7.8 Improper Integrals

7.8 Improper Integrals. To Infinity and Beyond!!!!. Type I Definition: If exists for every number , then If exists for every number , then PROVIDED THESE LIMITS EXIST AS FINITE NUMBERS.

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7.8 Improper Integrals

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  1. 7.8 Improper Integrals • To Infinity and Beyond!!!!

  2. Type I Definition: If exists for every number , then If exists for every number , then PROVIDED THESE LIMITS EXIST AS FINITE NUMBERS

  3. (C) If both and are convergent, then We define

  4. Determine whether the given integral is convergent. Evaluate if convergent.

  5. Sometimes we use L’Hospital’s rule to help us evaluate these integrals. Evaluate the integral with your group (you might need to integrate by parts!)

  6. Hint:

  7. For what values of p is the integral convergent??

  8. HOMEWORK: p. 538 # 5, 7, 9, 11, 13

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