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Math Help - Unbounded Integral

  1. #1
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    Unbounded Integral

    Can someone help me with this integral?

    Mathematically I got -3/2.

    Intuitively(with some math) I got 1/2

    My calculator got infinity


    The integral is S((x-4)^(-2))dx from 3 to 6.


    I don't feel like writing down my work as it may be wrong, but by looking at the equation from [3,5] the area should be zero and that leaves the interval [5,6] and the area under that portion of the curve is 1/2. But I need to show it in my work as (t -> 4 from the left) etc and then my calc says the integral diverges so can someone help me?

    Thanks
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  2. #2
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    Note that \frac{1}{(x-4)^2} is not defined for x=4 and 4 \in  [3,6].
    So you are dealing with an improper integral.
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  3. #3
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    Ugh, sorry I just mislabeled the title.
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