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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. 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 .