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Lecture 16 – Improper Integrals

Lecture 16 – Improper Integrals. Infinite Integrals: infinity at on or both limits. Example 1. Example 2. Example 3. Example 4. Find the volume of the solid generated by revolving the region bounded the curve and the x-axis on the interval around the x-axis. f(x). Example 5. x. 1. 2.

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Lecture 16 – Improper Integrals

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  1. Lecture 16 – Improper Integrals Infinite Integrals: infinity at on or both limits. Example 1

  2. Example 2

  3. Example 3

  4. Example 4

  5. Find the volume of the solid generated by revolving the region bounded the curve and the x-axis on the interval around the x-axis. f(x) Example 5 x 1 2 3 2

  6. x 2

  7. Lecture 17 – More Improper Integrals Discontinuous Integrands: infinite discontinuity in intervals [a, b]. Example 6

  8. Example 7

  9. Example 8

  10. Example 9

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