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无穷区间反常积分的积分变换计算方法
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Abstract:
本文基于两个积分变换的定义及其性质，给出无穷区间反常积分的积分变换计算方法，包括Fourier变换计算方法和Laplace变换计算方法。通过经典例题的求解表明相对于常规计算方法，积分变换法可大大简化计算反常积分。
Based on the definition and properties of two integral transformations, this paper gives the integral transformations method for the calculation of improper integral in infinite interval, including Fou-rier transformation and Laplace transformation. The classical examples show that the calculation of improper integrals by integral transformation can greatly simplify the calculation, compared with the typical method.
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