作者LuisSantos (^______^)
看板trans_math
标题Re: [积分] 不定积分
时间Fri Nov 30 10:11:46 2007
※ 引述《rath (concentrate)》之铭言:
: xe^x
: S ------- dx =?
: (x+1)^2
: 感恩~
(x)(e^x)
∫----------- dx
(x + 1)^2
e^x
令 y = -------
x + 1
(e^x)(x + 1) - (1)(e^x)
则 dy = ------------------------- dx
(x + 1)^2
(x)(e^x)
= ----------- dx
(x + 1)^2
(x)(e^x)
∫----------- dy
(x + 1)^2
= ∫1 dy
= y + c
(x)(e^x)
= ----------- + c
(x + 1)^2
--
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