AngouriMath
SolveAPolynomialBesideTwoLinearPowersWhoseExponentsAddUpToMinusOne(AngouriMath.Entity,AngouriMath.Entity.Variable,System.Boolean)
Method (no overloads)
Summary
A polynomial of degree two or more beside two powers of linears whose exponents add up
to -1,P(x) (a + b x)^m (c + d x)^n with m + n = -1 , by the reduction that
leaves a constant times the two powers alone:
int P L1^m L2^n dx = R L1^(m + 1) L2^(n + 1) + C int L1^m L2^n dx , R a polynomial
of degree one less than P. Rubi's(e + f x)^3/((a + b x)^(1/3) (c + d x)^(2/3)) .
to -1,
leaves a constant times the two powers alone:
of degree one less than P. Rubi's
Remarks
the last coefficient is never zero, so R is read off P's coefficients from the top down,
and what is left of P is the constant C.
substitution for a quotient of two linear radicals in two to six seconds, and the cube
past the budget, where the two powers alone take a tenth of one. Only for a polynomial of
degree two or more, which is where that ran out of time, and with a symbol in it; the
answer is differentiated back at sampled points.
https://github.com/asc-community/AngouriMath/issues/233
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