AngouriMath
SolveARationalFunctionTimesALogarithmOfPowersOfLinears(AngouriMath.Entity,AngouriMath.Entity.Variable,System.Boolean,System.Boolean)
Method (no overloads)
Summary
A rational function R times the logarithm of G , a product of powers of linears
nested in powers and constants, by parts:integral R ln(G) = S ln(G) - integral S G'/G with S = integral R rational, and G'/G read off G as it is written --
a product's is the sum of its factors', a power's the exponent times its base's, a linear's
b/(a + b x) -- which is exact by the chain rule on any branch, and rational.
nested in powers and constants, by parts:
a product's is the sum of its factors', a power's the exponent times its base's, a linear's
Remarks
Rubi's 3.2.3 ln(e (f (a + b x)^p (c + d x)^q)^r) , over (a + b x)^5 and over
(g + h x)^3 , were declined or ran out of time.
https://github.com/asc-community/AngouriMath/issues/718
https://github.com/asc-community/AngouriMath/issues/718
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