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Math Help - Undefined or zero integral

  1. #1
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    Question Undefined or zero integral

    Hi
    Hi
    I would like to know what is ∫1/x^2-∫1/x^2 from 0 to 2.is it zero or undefined meaning that it is infinity ? (because each integral is undefined at zero).
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  2. #2
    MHF Contributor

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    Re: Undefined or zero integral

    That is undefined because the two separate integrals are undefined. The theorem that \int f- g dx= \int f dx- \int g dx only holds if the two integrals on the right are defined which does not apply here.
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