一些瑕積分公式的推廣

Generalization of Some Improper Integral Formulas

本篇論文主要是研究四種瑕積分公式的推廣問題。我們利用參數微分法以及Leibniz微分法則可以求出這四種推廣的瑕積分的閉合型式解。另一方面，我們舉出四個瑕積分的例子實際的來做計算，並且利用數學軟體Maple計算出這些瑕積分以及它們解的近似值。This paper mainly studies the generalization problem of four types of improper integral formulas. We can obtain the closed forms of these four types of generalized improper integrals by using differentiation with respect to a parameter and Leibniz differential rule. On the other hand, we propose four improper integrals to do calculation practically, and use the mathematical software Maple to calculate the approximations of these improper integrals and their solutions.