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AngouriMath.Functions.Algebra.IndefiniteIntegralSolver

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Classes within the AngouriMath.Functions.Algebra.IndefiniteIntegralSolver namespace

• ALinearBesideTheRoot

  Summary

  The linear below the bar beside the root of a quadratic Q, for
  IntegrateOverARootOfAQuadratic(AngouriMath.Entity,AngouriMath.Entity.Variable,AngouriMath.Entity[],AngouriMath.Entity,AngouriMath.Entity,AngouriMath.Entity,System.Func{AngouriMath.Entity,AngouriMath.Entity},AngouriMath.Functions.Algebra.IndefiniteIntegralSolver.ALinearBesideTheRoot,AngouriMath.Entity,System.Nullable{System.Int32},System.Int32): as written, g + h x, to the power
  Order. AtThePole holds the factors the caller writes h^2 Q(-g/h) as,
  or where that is zero and the linear shares a root with Q, h Q'(-g/h).
  

• OverTheDifferenceOfSquares

  Summary

  N/((a^2 - b^2)^d b^e) with N a polynomial over the rationals in a,
  b and a third placeholder: the coefficients the reduction formulas in a power of
  a + b sin(y) leave, kept exact, so that summing the many paths that reach one
  term adds numerators instead of growing an expression.
  

• TrigonometricPolynomial

  Summary

  A polynomial in x, sin(x) and cos(x) with every sin^2 written as 1 - cos^2, so that the basis is x^i cos^k and
  x^i sin cos^k: keyed by the degree in x, the degree in the cosine and the
  sine's presence, with coefficients free of the three. Two are equal as functions
  exactly when their terms are.
  

• WrittenExponent

  Summary

  An exponent the integrand writes, A x^2 + B x + C once read, of the exponential
  Base^Written, or of e^(i Written) for a sine or cosine of it.