# AlgebraicIntegrate2(R0, F, R)¶

algextint(der, ext, rde, csolve, [g1, ..., gn]) returns a basis of solutions of the homogeneous system h' + c1*g1 + ... + cn*gn = 0. Argument ext is an extended integration function on F, rde is RDE solver, csolve is linear solver over constants.
algextint_base(der, csolve, [g1, ..., gn]) is like algextint(der, ext, rde, csolve, [g1, ..., gn]), but assumes that field is algebraic extension of rational functions and that gi-s have no poles at infinity.