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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. Homework Help ✎

  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 y = cos(x).

    2sin(θ − 1) + C

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