code: def limited_integrate(fa, fd, G, DE):
      """
      Solves the limited integration problem:  f = Dv + Sum(ci*wi, (i, 1, n))
      """
      fa, fd = fa * Poly(1 / fd.LC(), DE.t), fd.monic()
      # interpreting limited integration problem as a
      # parametric Risch DE problem
      Fa = Poly(0, DE.t)
      Fd = Poly(1, DE.t)
      G = [(fa, fd)] + G
      h, A = param_rischDE(Fa, Fd, G, DE)
      V = A.nullspace()
      V = [v for v in V if v[0] != 0]
      if not V:
          return None
      else:
          # we can take any vector from V, we take V[0]
          c0 = V[0][0]
          # v = [-1, c1, ..., cm, d1, ..., dr]
          v = V[0] / (-c0)
          r = len(h)
          m = len(v) - r - 1
          C = list(v[1 : m + 1])
          y = -sum(
              [
                  v[m + 1 + i] * h[i][0].as_expr() / h[i][1].as_expr()
                  for i in range(r)
              ]
          )
          y_num, y_den = y.as_numer_denom()
          Ya, Yd = Poly(y_num, DE.t), Poly(y_den, DE.t)
          Y = Ya * Poly(1 / Yd.LC(), DE.t), Yd.monic()
          return Y, C
  
imports: import itertools
  from functools import reduce
  from sympy.core.intfunc import ilcm
  from sympy.core import Dummy, Add, Mul, Pow, S
  from sympy.integrals.rde import order_at, order_at_oo, weak_normalizer, bound_degree
  from sympy.integrals.risch import gcdex_diophantine, frac_in, derivation, residue_reduce, splitfactor, residue_reduce_derivation, DecrementLevel, recognize_log_derivative
  from sympy.polys import Poly, lcm, cancel, sqf_list
  from sympy.polys.polymatrix import PolyMatrix
  from sympy.solvers import solve
label_desc: Use image node_id 14 for calling a global function with example usage: limited_integrate(fa, fd, G, DE) and returns: None, Y,  C