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5-10.

Examine the following integrals. 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. Before integrating, rewrite the integrand with a fractional exponent.

  2. Undo the Power Rule.

  3. Do NOT use a calculator!
    This function is a graph of a semicircle.
    Calculate the area using geometry.

  4. Determine the antiderivative by shifting and stretching the antiderivative of .

  5. Before integrating, rewrite the integrand with a negative exponent.