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12-46.

Integrate.

All of these integrals require the use of integration by parts.

  1. Note: The following steps ignore the bounds of integration. Be sure to apply them at the end.
    Let  and .
    Then and .

    For the integral:
    Let and .
    Then and .

    You can now integrate the integral that is left without using integration by parts.

  1. Use the same process outlined in part (a), but use instead of .

  1. Let and .

  1. Let and .

    Now solve this equation for the original integral.