# AlgebraicHermiteIntegration(F, UP, UPUP, R)¶

HermiteIntegrate(f, ') returns [g, h] such that f = g' + h and h has a only simple finite normal poles.
HermiteIntegrate(f, ', d0) returns [g, h] such that f = g' + d0*g + h and h has a only simple finite normal poles. Note: d0 must be integral.