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    ajone216's Avatar
    ajone216 Posts: 17, Reputation: 1
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    #1

    Nov 22, 2009, 10:47 AM
    Calculus (Integration)
    Let f(x)= 3x

    a. sketch the region R under the graph of f on the interval [0,2] and find its exact area using geometry.

    The book says the answer is 6, but I have no idea how the steps needed to solve for the area.

    Thanks for the help
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Nov 22, 2009, 12:13 PM
    It just forms a triangle with base length 2 along the x-axis and height 6. You can check your answer by just using the formula for the area of a triangle.

    It is a line with slope 3 passing through the origin. Graph it and see.


    To find the area by integrating

    Do it the easy way and by integrating. You should get the same solution.
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