code: def singularityintegrate(f, x):
      """
      This function handles the indefinite integrations of Singularity functions.
      The ``integrate`` function calls this function internally whenever an
      instance of SingularityFunction is passed as argument.
  
      Explanation
      ===========
  
      The idea for integration is the following:
  
      - If we are dealing with a SingularityFunction expression,
        i.e. ``SingularityFunction(x, a, n)``, we just return
        ``SingularityFunction(x, a, n + 1)/(n + 1)`` if ``n >= 0`` and
        ``SingularityFunction(x, a, n + 1)`` if ``n < 0``.
  
      - If the node is a multiplication or power node having a
        SingularityFunction term we rewrite the whole expression in terms of
        Heaviside and DiracDelta and then integrate the output. Lastly, we
        rewrite the output of integration back in terms of SingularityFunction.
  
      - If none of the above case arises, we return None.
  
      Examples
      ========
  
      >>> from sympy.integrals.singularityfunctions import singularityintegrate
      >>> from sympy import SingularityFunction, symbols, Function
      >>> x, a, n, y = symbols('x a n y')
      >>> f = Function('f')
      >>> singularityintegrate(SingularityFunction(x, a, 3), x)
      SingularityFunction(x, a, 4)/4
      >>> singularityintegrate(5*SingularityFunction(x, 5, -2), x)
      5*SingularityFunction(x, 5, -1)
      >>> singularityintegrate(6*SingularityFunction(x, 5, -1), x)
      6*SingularityFunction(x, 5, 0)
      >>> singularityintegrate(x*SingularityFunction(x, 0, -1), x)
      0
      >>> singularityintegrate(SingularityFunction(x, 1, -1) * f(x), x)
      f(1)*SingularityFunction(x, 1, 0)
  
      """
  
      if not f.has(SingularityFunction):
          return None
  
      if isinstance(f, SingularityFunction):
          x, a, n = f.args
          if n.is_positive or n.is_zero:
              return SingularityFunction(x, a, n + 1) / (n + 1)
          elif n in (-1, -2):
              return SingularityFunction(x, a, n + 1)
  
      if f.is_Mul or f.is_Pow:
          expr = f.rewrite(DiracDelta)
          expr = integrate(expr, x)
          return expr.rewrite(SingularityFunction)
      return None
  
label_desc: Use image node_id 1 for calling a global function with example usage: singularityintegrate(f, x) and returns: None, None, expr, unknown, SingularityFunction