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6-174.

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. Homework Help ✎

  1. Convert the radical to an exponent. Then use the form .

  1. If , then you need to add a . In this case, it would be 3 dx.
    Since you already have a , add a taking out a to compensate.

    Multiply .
    Then take the antiderivative.

  1. Use the rule for one of the inverse trig functions.

  1. This is a sum of power functions. Take the antiderivative.