AngouriMath
IntegratedTermByTerm(AngouriMath.Entity,AngouriMath.Entity.Variable,System.Boolean)
Method (no overloads)
Summary
A partial-fraction decomposition, a sum over a constant, integrated one term at a
time as each is written, with the constant on the result.
time as each is written, with the constant on the result.
Remarks
Handed to the chain whole, the sum is split as written only while every term is
small (LargestTermTakenAsWritten), and past that by the expanding
gather, which combines a term's constant with its quotient: `D^(-1) (P + Q x)/(1 + x^2)`
with `P`, `Q` polynomials in the symbols became `(P + Q x)/(D + D x^2)`, a quadratic
with symbols in every coefficient, and was integrated as a piecewise on the sign of
its discriminant. A decomposition's terms are already the shapes the rules read.
small (LargestTermTakenAsWritten), and past that by the expanding
gather, which combines a term's constant with its quotient: `D^(-1) (P + Q x)/(1 + x^2)`
with `P`, `Q` polynomials in the symbols became `(P + Q x)/(D + D x^2)`, a quadratic
with symbols in every coefficient, and was integrated as a piecewise on the sign of
its discriminant. A decomposition's terms are already the shapes the rules read.
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