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In the following integral which I obtained from Wolfram, what is the physical meaning (e.g. in a heat conduction problem) of [tex]\sqrt{-\sinh^{2}(bx)}[/tex]. Also how to evaluate this at [tex]x=L[/tex].

Thanks.

[tex]

\int\frac{dx}{\cosh^{3n+1}(bx)}=\frac{\sinh(bx)\cosh^{-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)

[/tex]

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# Meaning of complex term

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