Can the following be solved forbin terms ofx?

I post in this forum because the subject equation comes from evaluating the (arc length) integral

,

and also becausesinh(x) is a very calculus-y function.

Thanks,

Dfrtbx

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- Oct 17th 2010, 05:47 PMDfrtbxsolving for a variable
Can the following be solved for

*b*in terms of*x*?

I post in this forum because the subject equation comes from evaluating the (arc length) integral

,

and also because*sinh*(*x*) is a very calculus-y function.

Thanks,

Dfrtbx - Oct 17th 2010, 05:52 PMmr fantastic
- Oct 17th 2010, 06:16 PMDfrtbx
That is the entire original question. It didn't come out of a textbook, if that's what you're asking. Here's a graph of superimposed on :

http://i51.tinypic.com/avk3v7.jpg

Gold is the former, green the latter. Essentially what I'm trying to do is find an inverse function for .

Maxima (my computer algebra system) is unable to solve the original equation for*b*in terms of*x*.

EDIT: sorry... I sorta implied it in my original post, but I guess I should be more explicit. is the arc length of the function from 0 to some*x*. - Oct 19th 2010, 03:38 AMmr fantastic