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I have a function:

[tex]

\int\limits_{x}^{x+c} exp(-t^2) dt = y

[/tex]

c is a known constant here.

I am beating my head against the wall trying to find a good way to numerically evaluate the inverse here, i.e. I have y and c and I want to know x. I know that erf^-1 is readily available in mathematica and maple and the like but the limits of integration here make this a bit nastier. Any ideas? I don't need a perfect evaluation, just a moderately good approximation will work.

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# Finding the inverse of a nasty 1-to-1 function.

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