Physical meaning of imaginary term

**JulieK** · June 10th 2010, 10:07 AM

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.

**HallsofIvy** · June 10th 2010, 10:09 AM

Unfortunately, your attachment didn't work and without a link to the Wolfram citation, it is impossible to answer your question.

**JulieK** · June 10th 2010, 10:13 AM

Originally Posted by HallsofIvy

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

**JulieK** · June 10th 2010, 01:01 PM

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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