AngouriMath
SolveAPowerOfXTimesAFunctionOfAnotherUnderThatPower(AngouriMath.Entity,AngouriMath.Entity.Variable)
Method (no overloads)
Summary
A power of x times a whole power, past the first, of a sum holding an inverse function or a
logarithm of a power of x,x^m (a + b atanh(c x^n))^p , under t = x^n where
(m + 1)/n is whole: x^m dx = t^((m + 1)/n - 1) dt/n .
logarithm of a power of x,
Remarks
The rules before it timed out on Rubi's 5.3.2 (a + b atan(c x^2))^2/x^5 and 7.3.2
x^3 (a + b atanh(c x^2))^2 , (a + b atanh(c/x^2))^2/x^5 and
(a + b atanh(c x^(3/2)))^2/x^4 , each a problem in t they answer in a second.
https://github.com/asc-community/AngouriMath/issues/718
https://github.com/asc-community/AngouriMath/issues/718
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