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## Main Question or Discussion Point

Hello I hope this is the right place to ask this question. For my thesis I need a way to invert a incomplete elliptic integral of the second kind. I believe the Jacobi elliptic functions are inverse of the elliptic integral of the first kind. The calculation I'm doing is symbolic so a numerically inverting the second integral will be no good for me. Does anyone know which function is the inverse to the elliptic integral of the second. Or perhaps I can do a coordinate transformation to turn my elliptic integral of the second kind to a elliptic integral of the first kind.