AngouriMath
SolveByWritingAHalfOddPowerOfAReciprocalWithItsSign(AngouriMath.Entity,AngouriMath.Entity.Variable,System.Boolean)
Method (no overloads)
Summary
A half-odd power of a constant over a polynomial whose sign changes, among the factors
of the integrand, written apart with the factor that keeps it right on both sides of the
polynomial's zeros: for a realQ other than zero, (A/Q)^r is
K Q^(-r) with K = (A/Q)^r Q^r , whose derivative is zero wherever it has one,
and for a positive numberA that is A^r times the sign of Q , the
root of a negative beingi times the root of its modulus on both sides of the bar.
of the integrand, written apart with the factor that keeps it right on both sides of the
polynomial's zeros: for a real
and for a positive number
root of a negative being
Remarks
where it is real, and was declined, with every such power over a polynomial that is not
positive: the reading that writes a power of a quotient apart does so only where it is.
Late in the chain, after the substitutions, which answer some of these without the
factor --
same question, as the sign taken out above is.
https://github.com/asc-community/AngouriMath/issues/718
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