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

 Method (no overloads)

Summary

N/(x^k B), where the block B has a symbol in it and a constant term that
is not zero, split at the power of x. N/B has a power series at 0, and its first
k terms P are the part over x^k: N/(x^k B) = P/x^k + R/B, with
R = (N - P B)/x^k exactly.

Remarks

1/(x (x^3 + 2)) had an antiderivative and 1/(x (x^3 + c)) did not: the
first is split over the rationals, and the split over written factors takes linear
and quadratic blocks only. Rubi writes x^m (a + b x^n)^p by the hundred, and a
root of a square in it, 1/(x sqrt((a + b x^3)^2)), is this once its modulus is
taken. The constant term is divided by, in the generic case as everywhere here.
https://github.com/asc-community/AngouriMath/issues/718

























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