Generalization of a Class of Integral Identities by Taylor's Theorem
Some complex real integrals can be solved by means of complex integrals.Using the different forms of Taylor coefficient in Taylor theorem of analytic function and the calculation techniques of com-plex integral,this paper generalizes a class of real integral identities containing trigonometric functions,exponential functions or hyperbolic functions from five aspects,and proves a class of integral identities containing rational fractions of cosine functions of different angles.This provides new ideas and cases for the calculations of complex real integrals and the applications of complex integration.
Taylor theoremTaylor coefficientcomplex integralresidue theoremintegral identitygener-alize
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