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Math Help - Antidifferentation with a negative exponent help

  1. #1
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    Antidifferentation with a negative exponent help

    I need help trying to antidifferentiate a variable x raised to the negative 1st power. When i try to antidifferentiate i get (X^0)/0, which does not differentiate back into x^-1. It is not for a problem, but for my own knowledge.
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    Quote Originally Posted by gamefreeze View Post
    I need help trying to antidifferentiate a variable x raised to the negative 1st power. When i try to antidifferentiate i get (X^0)/0, which does not differentiate back into x^-1. It is not for a problem, but for my own knowledge.
    x^{-1} is a special case and is equal to ln|x|.

    \int \,x^{-1}\,dx = ln|x| + C
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    ah, thanks a lot. it just slipped my mind
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