A Fundamental Criteria to Establish General Formulas of Integrals

Table 1

The Cauchy principal value of improper integrals that have the series representation in Equation (31).

			Conditions	No. of theorem
1.			,	Theorem 1
2.		Where and .	,	Theorem 2
3.			,	Theorem 4
4.		Where and	,	Theorem 6