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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. You should have the first integral committed to memory.
    For the second integral, let .

  1. This is an improper integral because the graph has a vertical asymptote at . Rewrite this integral using limits and two separate integrals before evaluating.

  1. Rewrite the integrand using exponents. This is also an improper integral.