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

Table 14

Rules	Integral
	Approximate value of 𝑇2=∫^10𝑒^−𝑥2𝑑𝑥	Absolute error
𝑅1(𝑓)	0.746832	8.0×10^−6
𝑅2(𝑓)	0.746821	3.0×10^−6
𝑅3(𝑓)	0.746823	1.0×10^−6
Exact value	0.746824Correct to seven decimal places	**