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Compute without a calculatorNo calculator! 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 integration by parts and substitution.

  2. There is a vertical asymptote at , so this improper integral needs to be rewritten in proper form (as a limit).

    Write a sum of two proper integrals.

  3. Use -substitution.