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5-107.

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. You could rewrite the integrand as a piecewise function. Or you could sketch the graph (it's a transformation of y = |x|) 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 sec²x?

    tanx + c