code: def dmp_integrate_in(f, m, j, u, K):
      """
      Computes the indefinite integral of ``f`` in ``x_j`` in ``K[X]``.
  
      Examples
      ========
  
      >>> from sympy.polys import ring, QQ
      >>> R, x,y = ring("x,y", QQ)
  
      >>> R.dmp_integrate_in(x + 2*y, 1, 0)
      1/2*x**2 + 2*x*y
      >>> R.dmp_integrate_in(x + 2*y, 1, 1)
      x*y + y**2
  
      """
      if j < 0 or j > u:
          raise IndexError(
              "0 <= j <= u expected, got u = %d, j = %d" % (u, j)
          )
  
      return _rec_integrate_in(f, m, u, 0, j, K)
  
imports: from sympy.polys.densearith import dup_add_term, dmp_add_term, dup_lshift, dup_add, dmp_add, dup_sub, dmp_sub, dup_mul, dmp_mul, dup_sqr, dup_div, dup_rem, dmp_rem, dmp_expand, dup_mul_ground, dmp_mul_ground, dup_quo_ground, dmp_quo_ground, dup_exquo_ground, dmp_exquo_ground
  from sympy.polys.densebasic import dup_strip, dmp_strip, dup_convert, dmp_convert, dup_degree, dmp_degree, dmp_to_dict, dmp_from_dict, dup_LC, dmp_LC, dmp_ground_LC, dup_TC, dmp_TC, dmp_zero, dmp_ground, dmp_zero_p, dup_to_raw_dict, dup_from_raw_dict, dmp_zeros
  from sympy.polys.polyerrors import MultivariatePolynomialError, DomainError
  from sympy.utilities import variations
  from math import ceil, log
label_desc: Use image node_id 4 for calling a global function with example usage: dmp_integrate_in(f, m, j, u, K) and returns: _rec_integrate_in