Application of Complex Analysis Theory to Calculate a Class of Fresnel Type Integral
For the Fresnel-type integral which is difficult to be solved by real function theory,the Dirichlet test is first applied to prove its convergence.Then,the general convergence result of Fresnel-type integral with xn-2 or xm are given by applying the circulatory integral method and Cauchy integral theorem.
Fresnel type integralDirichlet testcirculatory integral methodCauchy integral theorem