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Math Help - Physical meaning of imaginary term

  1. #1
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    Physical meaning of imaginary term

    Hello
    In the following integral which I obtained from Wolfram, what is the physical meaning (e.g. in a heat conduction problem) of \sqrt{-\sinh^{2}(bx)}.
    Thanks.

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  2. #2
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    Unfortunately, your attachment didn't work and without a link to the Wolfram citation, it is impossible to answer your question.
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  3. #3
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    Quote Originally Posted by HallsofIvy View Post
    Unfortunately, your attachment didn't work and without a link to the Wolfram citation, it is impossible to answer your question.
    This is Wolfram link:

    Wolfram Mathematica Online Integrator
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  4. #4
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    This is the integral according to Wolfram:

    \int\frac{dx}{\cosh^{3n+1}(bx)}=\frac{\sinh(bx)\co  sh^{-3n}(bx)}{3nb\sqrt{-\sinh^{2}(bx)}}\,_{2}F_{1}\left(\frac{1}{2},-\frac{3n}{2};\frac{2-3n}{2};\cosh^{2}(bx)\right)
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