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dongzh311(feixiaolin´ú·¢): ½ð±Ò+2 2015-01-26 10:21:12
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7Â¥2015-01-25 21:38:42
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dongzh311(feixiaolin´ú·¢): ½ð±Ò+3 2015-01-26 10:20:27
Áît=exp(x) + 1;Ôòdt=exp(x)dx  =>  dx=dt / (t+1)  => ¡Ò t^m / (t+1) dt , (w=t+1)  => ¡Ò (w-1)^m / w dw  => ¡Ò ¡Æ C(i,m) w^(i-1) *(-1)^(m-i) + (-1)^m/w dw = ¡Æ C(i,m)* 1/i* w^i *(-1)^(m-i) + (-1)^m*Ln(w) = ¡Æ C(i,m)* 1/i* (exp(x) + 2)^i *(-1)^(m-i) + (-1)^m*Ln((exp(x) + 2))
3Â¥2015-01-25 13:46:02
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feixiaolin: ½ð±Ò+1 2015-01-26 10:20:52
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4Â¥2015-01-25 15:57:57
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3Â¥: Originally posted by P-HE at 2015-01-25 13:46:02
Áît=exp(x) + 1;Ôòdt=exp(x)dx  =>  dx=dt / (t+1)  => ¡Ò t^m / (t+1) dt , (w=t+1)  => ¡Ò (w-1)^m / w dw  => ¡Ò ¡Æ C(i,m) w^(i-1) *(-1)^(m-i) + (-1)^m/w dw = ¡Æ C(i,m)* 1/i* w^i *(-1)^(m-i)  ...

Áît=exp(x) + 1;Ôòdt=exp(x)dx  =>  dx=dt / (t+1)  => ¡Ò t^m / (t+1) dt ,
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Áît=exp(x) + 1;Ôòdt=exp(x)dx  =>  dx=dt / (t-1)  => ¡Ò t^m / (t-1) dt ,
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5Â¥2015-01-25 17:37:47
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