Some Derivative-Free Quadrature Rules for Numerical Approximations of Cauchy Principal Value of Integrals

Table 6

Rules	Integral
	Approximate value of 𝐽1=∫^𝑖−𝑖𝑒^𝑧𝑑𝑧	Absolute error
𝑅1(𝑓)	1.682936∗𝑖	5.9×10^−6
𝑅2(𝑓)	1.682944∗𝑖	2.0×10^−6
𝑅3(𝑓)	1.682943∗𝑖	1×10^−6
Exact value	1.682942∗𝑖	**