大学物理 ›› 2013, Vol. 32 ›› Issue (4): 1-1.
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林琼桂
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摘要： 研究了积分区间内含有被积函数本性奇点的若干无穷积分,其被积函数是一般有理分式f（x）、x的三角函数和1/x的三角函数三者的乘积.用围线积分方法导出了用留数表示的一般计算公式,并计算了实例.
关键词: 无穷积分, 本性奇点, 围线积分, 留数定理
Abstract: Several types of infinite integrals involving essential singularities of the integrand in the interval of integration are studied. The integrands are products of a general rational function, a trigonometric function of x and one of 1/x. General formulae are derived by using the approach of contour integration and the results are expressed in terms of residues. Several examples are given.
Key words: infinite integrals, essential singularities, contour integration, residue theorem
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林琼桂. 积分区间内含被积函数本性奇点的若干无穷积分[J]. 大学物理, 2013, 32(4): 1-1.
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