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Examine the integrals below. Consider the multiple tools available for evaluating integrals and use the best strategy for each part. Evaluate each integral and briefly describe your method.

  1. Expand the integrand first.

  1. Can you calculate the integral just by looking at the graph?

    Without graphing, how could you have recognized that the integrand is odd?

  1. Factor and use a trigonometry identity.

  1. How could you simplify so you can use the Power Rule?