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Examine the integrals below. Consider the multiple tools available for integrating and use the best strategy. After evaluating each integral, write a short description of 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 .

  1. Use substitution. Let .