# PatternMatchIntegration(R, F)¶

pmComplexintegrate(f, x) returns either “failed” or [g, h] such that integrate(f, x) = g + integrate(h, x). It only looks for special complex integrals that pmintegrate does not return.
pmintegrate(f, x) returns either “failed” or [g,h] such that integrate(f, x) = g + integrate(h, x).
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, x) returns [c, g] such that f = c * g and c does not involve t.