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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. You could rewrite the integrand as a piecewise function. Or you could sketch the graph (it's a transformation of ) and use geometry.

  2. Before you integrate, rewrite the integrand with exponents.

  3. Notice the bounds.

  4. Don't panic! What famous trig function has a derivative of ?