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x.^4*exp(x)/(exp(x)-1).^2  ¶Ôx»ý·Ö
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matlabµÄ½â·¨£º
syms x;
int(x.^4*exp(x)/(exp(x)-1).^2,x)
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3Â¥2012-05-02 10:40:03
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xzhdty: ½ð±Ò+1, ר¼Ò¿¼ºË, ллÁË 2012-05-02 06:42:47
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Mathematica:
CODE:
Integrate[x^4 Exp[x]/(Exp[x] - 1)^2, x]

-x^4 - x^4/(-1 + e^x) + 4 x^3 Log[1 - e^x] + 12 x^2 PolyLog[2, e^x] -
24 x PolyLog[3, e^x] + 24 PolyLog[4, e^x]

[ ·¢×ÔÊÖ»ú°æ http://muchong.com/3g ]
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2Â¥2012-05-01 22:36:50
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3Â¥: Originally posted by Jasonluo at 2012-05-02 10:40:03:
matlabµÄ½â·¨£º
syms x;
int(x.^4*exp(x)/(exp(x)-1).^2,x)

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4Â¥2012-05-02 15:06:42
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lidong

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wxy³¾°£: ½ð±Ò+10, ¡ï¡ï¡ï¡ï¡ï×î¼Ñ´ð°¸ 2012-05-04 20:07:08
%Áú±´¸ñÍâÍÆ·¨Çóº¯Êý»ý·Ö£¬½á¹û¾ØÕó×óϽÇÊýֵΪ¾«¶È×î¸ßµÄÇó»ý½á¹û
function bgl
a=input('a=');             %ÊäÈë»ý·ÖÏÂÏÞ
b=input('b=');             %ÊäÈë»ý·ÖÉÏÏÞ
n=input('n=');              %ÊäÈëÍâÍÆ´ÎÊý£¨n=3~5¼´¿ÉÂú×ãÒ»°ã¾«¶ÈÒªÇó£©
digits(10);
h=vpa(b-a);
y1=f(a);
y2=f(b);
t(1,1)=vpa(h/2*(y1+y2));
for i=2:n
    s=0;
    for k=1:2^(i-2)
        y0=f(a+2*(2*k-1)*(b-a)/2^i);
        s=s+y0;
    end
    t(1,i)=vpa(t(1,(i-1))/2+h/2*s);
    h=h/2;
end
for m=2:n
    for j=1n+1-m)
        c=4^(m-1);
        t(m,j)=vpa(c/(c-1)*t((m-1),(j+1))-1/(c-1)*t((m-1),j));
    end
end
t
end

function y=f(x)
if x==0
    y=0;
else
    y=vpa(x.^4*exp(x)/(exp(x)-1).^2);
end
end
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