AngouriMath
SolveARationalFunctionOverTheQuadraticOfAnArctangentBesideIt(AngouriMath.Entity,AngouriMath.Entity.Variable)
Method (no overloads)
Summary
A rational function over the quadratic an inverse tangent's derivative is written over,
times a function of that inverse tangent,x^4 atan(a x)/(c + a^2 c x^2) , with the
rational function split into partial fractions over its written factors and each piece
beside the function its own question:atan(a x)/(1 + a^2 x^2) is
atan(a x)^2/(2a) , and the rest is a power of x beside the inverse tangent.
times a function of that inverse tangent,
rational function split into partial fractions over its written factors and each piece
beside the function its own question:
Remarks
The rules before it timed out on Rubi's 5.3.4 x^4 atan(a x)/(c + a^2 c x^2) and
atan(a x)/(x^4 (c + a^2 c x^2)) , and declined x^2 atan(a x)/(c + a^2 c x^2) .
https://github.com/asc-community/AngouriMath/issues/718
https://github.com/asc-community/AngouriMath/issues/718
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