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

  1. Before integrating, expand the integrand.

  2. Think about the derivatives of common trig functions. Be mindful about the sign of your antiderivative.

  3. Refer to hint in part (b).

  4. Refer to hint in part (b).