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SolveAPolynomialBesideErrorFunctionsOfAShiftedLinear​(AngouriMath.​Entity,​AngouriMath.​Entity.​Variable,​System.​Boolean)

 Method (no overloads)

Summary

A polynomial times powers of error functions of one shifted linear, written in
u = a + b x: x erf(a + b x)^2 is (u - a) erf(u)^2/b^2, which by parts
answers, since there the Gaussian the error function differentiates to is of the
variable itself.

Remarks

In x, by parts leaves x^n e^(-(a + b x)^2) erf(a + b x), which nothing reads, and
the remainder is declined term by term rather than asked (see
TheRemainderIsAskedTermByTerm): (c + d x)^2 erf(a + b x)^2 ran past twenty
seconds. Only where the offset is not zero, since without it there is nothing to move,
and only error functions, whose derivatives are Gaussians of their argument rather than
quotients by it. Rubi's 8.1.
https://github.com/asc-community/AngouriMath/issues/1945

























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