| 一类定积分的Z变换计算方法 |
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| 引用本文： | 钱学明.一类定积分的Z变换计算方法[J].安庆师范学院学报(自然科学版),2010,16(4):96-101. |
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| 作者姓名： | 钱学明 |
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| 作者单位： | 无锡科技职业学院,基础部,江苏,无锡214028 |
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| 摘 要： | 本文首次利用Z变换的方法来求解一类形如∫0πac o+s(bcnoxs)xdx和∫0πasi+n(bnsixn)xdx的定积分,其中n为非负整数参数,a,b为实数,并且得到了完整的积分公式。由此,我们可以直接获得数学分析中此类定积分的值。同时,Z变换的方法也同样适用于类似的含参变量的定积分的计算。
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| 关 键 词： | 含参变量的定积分 Z变换 计算方法 |
Solving a Class of Integrals with Z Transform |
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| QIAN Xue-ming.Solving a Class of Integrals with Z Transform[J].Journal of Anqing Teachers College(Natural Science Edition),2010,16(4):96-101. |
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| Authors: | QIAN Xue-ming |
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| Institution: | QIAN Xue-ming(Wuxi Professional College of Science and Technology,Wuxi 214028,China) |
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| Abstract: | This paper calculates a class of definite integral such as ∫π0cos(nx)a+bcosxdx and ∫π0sin(nx)a+bsinxdx(n∈N,a,b∈R) by the method of Z transform for the first time,and the whole integrated formula is given.Thus,we can obtain the results of this class of definite integral in mathematics analysis directly.And,the method of Z Transform is suitable for the similar definite integral with parameter calculation. |
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| Keywords: | definite integral with parameter Z transform computational method |
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