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复杂函数求积分

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ycpp Posted at 2016-5-27 22:29:38 |Read mode
复杂函数求积分,求给出详细解答过程,谢谢。还不会编辑公式,所以用图片表示,见谅。
求积分.png

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战巡 Posted at 2016-5-27 22:43:53
回复 1# ycpp


\[\int\frac{ax-b}{(cx-d)^3}e^{px}dx=\frac{e^{px}[bc(c-dp+cpx)+a(d^2p-2c^2x+cd(1-px))]}{2c^3(cx-d)^2}+\frac{e^{\frac{pd}{c}}p(2ac-bcp+adp)}{2c^4}Ei(p(x-\frac{d}{c}))+C\]
其中$Ei(x)$为指数积分(无初等表达式),定义:
\[Ei(x)=-\int_{-x}^{+\infty}\frac{e^{-t}}{t}dt\]

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 Author| ycpp Posted at 2016-5-28 03:07:41
谢谢战巡,不知能否给个参考文献,谢谢。

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