PatternMatchIntegration(R, F)

intpm.spad line 1 [edit on github]

• R: Join(Comparable, RetractableTo Integer, GcdDomain, LinearlyExplicitOver Integer)

• F: Join(AlgebraicallyClosedField, TranscendentalFunctionCategory, FunctionSpace R)

PatternMatchIntegration provides functions that use the pattern matcher to find some indefinite and definite integrals involving special functions and found in the literature.

pmintegrate: (F, Symbol, OrderedCompletion F, OrderedCompletion F) -> Union(F, failed) if R has ConvertibleTo Pattern Integer and R has PatternMatchable Integer and F has SpecialFunctionCategory

pmintegrate(f, x = a..b) returns the integral of f(x)dx from a to b if it can be found by the built-in pattern matching rules.

splitConstant: (F, Symbol) -> Record(const: F, nconst: F)

splitConstant(f, x) returns [c, g] such that f = c * g and c does not involve t.