AngouriMath
SolveARationalFunctionBesideARootOfALinearSplitFirst(AngouriMath.Entity,AngouriMath.Entity.Variable,System.Boolean)
Method (no overloads)
Summary
A rational function with symbols in it beside a power that is not whole of a linear,
R(x) (a + b x)^q , with two or more factors below the bar: split into partial
fractions over the factors as written, each term beside the power is the question
the rules for one factor answer.1/(x (1 + x^2) sqrt(a + b x)) is
1/(x sqrt(a + b x)) - x/((1 + x^2) sqrt(a + b x)) , and was declined: under
v = sqrt(a + b x) it is a rational function over a sextic with symbols in it,
which nothing factors, where each term above is answered at once. It is what the
tangent substitution makes of Rubi's 4.3.2.1,cot(x)/sqrt(a + b tan(x)) .
https://github.com/asc-community/AngouriMath/issues/718
fractions over the factors as written, each term beside the power is the question
the rules for one factor answer.
which nothing factors, where each term above is answered at once. It is what the
tangent substitution makes of Rubi's 4.3.2.1,
https://github.com/asc-community/AngouriMath/issues/718
Remarks
Late, so that whatever answers the integrand whole answers first, and only with a symbol
in it: with numbers the substitution's rational function is split over the rationals.
in it: with numbers the substitution's rational function is split over the rationals.
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