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

Table 9

Rules	Integral
	Approximate value of 𝑄1=𝑃∫^1−1(𝑒^𝑥/𝑥)𝑑𝑥	Absolute error
𝑅1(𝑓)	2.11450111	6.4×10^−7
𝑅2(𝑓)	2.11450199	2.4×10^−7
𝑅3(𝑓)	2.11450186	1×10^−7
Exact value	2.11450175 (Longman [2])	**