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TryReadAPowerTimesARadicalQuadratic

 Method with 2 overloads

• TryReadAPowerTimesARadicalQuadratic​(AngouriMath.​Entity,​AngouriMath.​Entity.​Variable,​System.​Int32@,​System.​Int32@,​PeterO.​Numbers.​ERational@,​PeterO.​Numbers.​ERational@,​PeterO.​Numbers.​ERational@,​AngouriMath.​Entity@)

  Summary

  Reads expr as a rational multiple of
  x^m (a + b x^2)^(k/2) with k odd, however the radical is spelled.
  

  Remarks

  The half-power is what makes this rule's rather than the ordinary power rule's: an even
  k is a whole power of a polynomial, which expanding answers. The quadratic has
  no linear term, so a shifted one — x/sqrt(1 + x + x^2) — is not read here and
  wants completing the square first, which is its own step.
  

• TryReadAPowerTimesARadicalQuadratic​(AngouriMath.​Entity,​AngouriMath.​Entity.​Variable)

  Summary

  Whether expr is x^m sqrt(a + b x^2)^k up to a constant --
  the shape the trigonometric substitution answers.