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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. The Reverse Chain Rule can be used here, but this is an improper integral, so be sure to use a limit.

  1. Let .

  1. Use partial fraction decomposition.

  1. Use substitution twice.

    Let . Then .

    Let . Then .