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

Table 16

Rules	Integral
	Approximate value of 𝑇4=∫^31(sin^2𝑥/𝑥)𝑑𝑥	Absolute error
𝑅1(𝑓)	0.79486	4.0×10^−5
𝑅2(𝑓)	0.79480	2.0×10^−5
𝑅3(𝑓)	0.79481	1.0×10^−5
Exact value	0.79482	**