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

Table 12

Rules	Integral
	Approximate value of 𝑄4=𝑃∫^1−1((𝑥+1)𝑒^𝑥/𝑥)𝑑𝑥	Absolute error
𝑅1(𝑓)	4.464898	6.0×10^−6
𝑅2(𝑓)	4.464907	3.0×10^−6
𝑅3(𝑓)	4.464905	1.0×10^−6
Exact value	4.464904	**