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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. Homework Help ✎

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

    Let .

  1. Use integration by parts: Let f = tan–1(x) and dg = x dx

    Use polynomial division: 

  1. Use substitution: Let 

  1. Use substitution: