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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. Rewrite the integrand in terms of sine and cosine and use the Pythagorean Identity.

    Let .

  1. Use integration by parts: Let and

    Use polynomial division: 

  1. Use substitution: Let 

  1. Use substitution: