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    Finding Area of a Region

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    Sketch the region bounded by the graph of the functions and find the area of the region

    1) f(x) = - x^2+ 4x + 2, g(x) = x + 2

    2) f(y) = y(2 - y), g(y) = -y

    3) f(x) = 3^x, g(x) = 2x + 1

    keywords: integration, integrates, integrals, integrating, double, triple, multiple

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    Solution Summary

    The areas of regions are found through integration. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.