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Math Help - Evaluate integral using a graph.

  1. #1
    Member Marconis's Avatar
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    Evaluate integral using a graph.

    I know you guys aren't fans of photos, but I was unsure of how to generate this graph online, especially without a function.

    The question calls for using the graph to evaluate each integral:

    a)  \int^2_0 g(x)dx

    b) \int^6_2 g(x)dx

    c) \int^7_0 g(x)dx



    For a) I did the following:

    A= \frac{1}{2} (b \ast h)= \frac{1}{2} (2 \ast 4)= 4

    For b)

    A= -\frac{1}{2} \pi r^2 = -\frac{1}{2}\pi (2)^2= -2\pi

    For c)
    I need some help. Would I evaluate it at \int^7_6, and then add it to the integrals of a and b?
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  2. #2
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    skeeter's Avatar
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    \displaystyle \int_0^7 g(x) \, dx = \int_0^2 g(x) \, dx + \int_2^6 g(x) \, dx + \int_6^7 g(x) \, dx = 4 - 2\pi + \frac{1}{2}
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  3. #3
    Member Marconis's Avatar
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    Great, thanks!
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