AngouriMath
InTheSquareAnOddRationalFunction(AngouriMath.Entity,AngouriMath.Entity,AngouriMath.Entity.Variable,System.Boolean)
Method (no overloads)
Summary
An odd rational function N/D with symbols in it, past the third degree below the
bar, inu = x^2 : one side holds only odd powers of x and the other only even
ones, soN/D dx is N1(u)/(2 D(u)) du for an odd numerator x N1(x^2) ,
andN(u)/(2u D1(u)) du for an odd denominator x D1(x^2) .
bar, in
ones, so
and
Remarks
In x the partial fractions split `(A + B x^2)/(x (a + b x^2 + c x^4)^3)` at x and carried
a polynomial of the eleventh degree over the cube of the quartic through the reduction,
past a minute; in u it is `(A + B u)/(2u (a + b u + c u^2)^3)`, answered in a tenth of a
second. Rubi's 1.2.2.4 and 1.2.2.5.
https://github.com/asc-community/AngouriMath/issues/718
a polynomial of the eleventh degree over the cube of the quartic through the reduction,
past a minute; in u it is `(A + B u)/(2u (a + b u + c u^2)^3)`, answered in a tenth of a
second. Rubi's 1.2.2.4 and 1.2.2.5.
https://github.com/asc-community/AngouriMath/issues/718
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