AngouriMath
SolveAPowerOfAnImaginaryHyperbolicCosecantSumInTheExponential(AngouriMath.Entity,AngouriMath.Entity.Variable,System.Boolean)
Method (no overloads)
Summary
A power of a ± i a csch(y) , not whole, integrated in w = e^y : there
csch(y) is 2 w/(w^2 - 1) and the sum is a (w ± i)^2/(w^2 - 1) , so its power is
a^p (w ± i)^(2p) (w^2 - 1)^(-p) times a constant on every interval where both are
continuous, anddy = dw/w .
continuous, and
Remarks
Rubi's sqrt(a + i a csch(c + d x)) and the rest of 6.6.3's were declined: the sum is
the square of a complex function over a real one, which nothing read. The constant is not
written: the answer is the integrand times the antiderivative inw over what that
antiderivative differentiates back to, a quotient constant wherever it is continuous; and it
is kept only where its derivative is the integrand at the sampled points.
https://github.com/asc-community/AngouriMath/issues/718
the square of a complex function over a real one, which nothing read. The constant is not
written: the answer is the integrand times the antiderivative in
antiderivative differentiates back to, a quotient constant wherever it is continuous; and it
is kept only where its derivative is the integrand at the sampled points.
https://github.com/asc-community/AngouriMath/issues/718
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