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WithTheCandidatesPowerLeftInX​(AngouriMath.​Entity,​AngouriMath.​Entity,​AngouriMath.​Entity.​Variable,​AngouriMath.​Entity.​Variable)

 Method (no overloads)

Summary

integrandInU with the part of it still in x written
in uSub, where that part is a constant times a power of the candidate
u, from -2 to 2; or null.

Remarks

What the two are made of, compared without evaluating, and then the ratio at three points,
every other symbol pinned, screen each power cheaply, and only one that passes is worked
out: over one bar, with a negative fractional power written as a quotient by the
positive one, which it is on every branch, and simplified. That is what puts the
derivative of sqrt(1 - a x)/sqrt(1 + a x), a sum of two quotients of roots, over
one bar, and takes what is left beside u^(-1) to -1/(2 a). A constant that
keeps an x is no constant, and the candidate stays refused.

























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