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Math Help - Simple integration question help

  1. #1
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    Simple integration question help

    hey guys Im a bit rusty with integrating exponentials
    since the derivative of e^{x}+e^{-x} is e^{x}-e^{-x} how do I integrate this?

    \displaystyle\int\dfrac{e^{x}-e^{-x}}{e^{x}+e^{-x}}\,dx

    Thanks
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  2. #2
    MHF Contributor harish21's Avatar
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    substitution rule:
    let  u = e^x+e^{-x} \implies du = e^x-e^{-x}\;dx
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  3. #3
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    \displaystyle \int \frac{f'(x)}{f(x)} \, dx = \ln|f(x)| + C
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