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Examine the integrals below. Consider the multiple tools available for integrating and use the best strategy for each part. Evaluate each integral and briefly describe your method.

  1. Use substitution. Let .

  1. Use partial fraction decomposition.

    is undefined when , so a limit needs to be used to evaluate this integral.

  1. Since this is the integral of a derivative, your answer should have a "".

  1. Use substitution. Let .