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Set up an integral and compute the area of the region bounded by the graphs of the given functions. You may use a graphing calculator.

  1. The area between and .

    Find the bounds by computing the -values of the points of intersection between the two functions.

    (using a calculator)

    Determine which is the upper function (the one with higher -values) and which is the lower function (the one with lower -values). If you are using a calculator: look at the graph. If not: Evaluate a point in between the bounds to see which function has the higher -values.

  2. The area between and .

    Refer to hints in part (a).