N******n 发帖数: 3003 | 1 what is the value of integral of 1+a/(x-a) with respect to x
the answer is 2*i*pi*a
it is very likely to the exponential function can be defined with an
infinite series as:
exp(z)=1+z+z^2/2+.........
anyone know this?
3x |
I*********t 发帖数: 5258 | 2 你确定你把问题写对了?有理不定积分怎么出来i和pi? |
N******n 发帖数: 3003 | 3 it is integrated wto Complex support.
I think it is derived of the Cauchy's integral formula,so I am wiking
【在 I*********t 的大作中提到】![](/moin_static193/solenoid/img/up.png) : 你确定你把问题写对了?有理不定积分怎么出来i和pi?
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I*********t 发帖数: 5258 | 4 a是极点,根据柯西定理就是那个结果。
【在 N******n 的大作中提到】![](/moin_static193/solenoid/img/up.png) : it is integrated wto Complex support. : I think it is derived of the Cauchy's integral formula,so I am wiking
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N******n 发帖数: 3003 | 5 you are right! 3x
【在 I*********t 的大作中提到】![](/moin_static193/solenoid/img/up.png) : a是极点,根据柯西定理就是那个结果。
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