code: def test_cauchypv_weight(self):
      # 7) Cauchy prinicpal value weighting w(x) = 1/(x-c)
      def myfunc(x, a):
          return 2.0 ** (-a) / ((x - 1) ** 2 + 4.0 ** (-a))
  
      a = 0.4
      tabledValue = (
          2.0 ** (-0.4) * log(1.5)
          - 2.0 ** (-1.4) * log((4.0 ** (-a) + 16) / (4.0 ** (-a) + 1))
          - arctan(2.0 ** (a + 2))
          - arctan(2.0**a)
      ) / (4.0 ** (-a) + 1)
      assert_quad(
          quad(myfunc, 0, 5, args=0.4, weight="cauchy", wvar=2.0),
          tabledValue,
          error_tolerance=1.9e-8,
      )
  
imports: import sys
  import math
  import numpy
  from numpy import sqrt, cos, sin, arctan, exp, log, pi
  from numpy.testing import assert_, assert_allclose, assert_array_less, assert_almost_equal
  import pytest
  from scipy.integrate import quad, dblquad, tplquad, nquad
  from scipy.special import erf, erfc
  from scipy._lib._ccallback import LowLevelCallable
  import ctypes
  import ctypes.util
  from scipy._lib._ccallback_c import sine_ctypes
  import scipy.integrate._test_multivariate
label_desc: Use image node_id 8 for calling the TestQuad obj's underlying member method code with example usage: obj.test_cauchypv_weight() and returns: unknown