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10-4.

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. Homework Help ✎

  1. Use integration by parts.
    Let and .

  1. Use substitution.
    Let .

  1. You should recognize the integrand as the derivative of an inverse trigonometric function.

    This is an improper integral, so a limit will need to be used to evaluate it.
    The symmetry of the graph can also be used to evaluate the integral.

  1. Review the first Fundamental Theorem of Calculus.