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Surd integration rules #45

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axkr opened this issue Feb 15, 2021 · 0 comments
Open

Surd integration rules #45

axkr opened this issue Feb 15, 2021 · 0 comments

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@axkr
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axkr commented Feb 15, 2021 •
edited

Here are some Surd rules which could be added to the Rubi package:

Int[Surd[x_ ,n_Integer]^p_., x_Symbol] := (n*x*Surd[x, n]^p)/(n + p) /; FreeQ[p, x] && GtQ[n, 0]

Int[(x_^m_)*Surd[x_ ,n_Integer]^p_., x_Symbol] :=  (x^(1 + m)*Surd[x, n]^p)/(1 + m + p/n) /; FreeQ[{m,p}, x] && GtQ[n, 0]
@axkr axkr changed the title Surd[] integration rules Surd integration rules Feb 15, 2021
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