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likuihei

金虫 (正式写手)

[求助] 求助matlab积分的问题

我想对函数(f*v + (G*a*b)/(b*x + 1) + (M*c*k*m0*x)/((k*x*(c - 1) + 1)*(x - 1)^2))/(r0 - x)积分,于是编了如下的m文件:

clear all;
clc;
syms a b G M m0 c k r0 f v x;
I=(G*a*b/(b*x+1)+f*v+M*m0*c*k*x/(((x-1)^2)*(k*x*(c-1)+1)))/(r0-x)
J=int(I,x)

但是结果出来和要积分的公式是一致的。结果是

I =

(f*v + (G*a*b)/(b*x + 1) + (M*c*k*m0*x)/((k*x*(c - 1) + 1)*(x - 1)^2))/(r0 - x)
请问高手为什么会这样,请高手帮忙指点
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zyy19871002

新虫 (小有名气)

J =

G*a*b/(b*r0+1)*log(b*x+1)-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v-M*m0*c*k/(1+k*c-k)/(-1+r0)/(x-1)-2/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*G*a*b*r0^2*k-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*G*a*b-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*r0*f*v*b+1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*r0*f*v*k-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*r0*f*v*k*c+2/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*r0*f*v-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*M*m0*c*k*r0-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*G*a*b*r0^2+2/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*G*a*b*r0-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*G*a*b*k*c*r0+1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*G*a*b*k*r0+2/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*G*a*b*r0^2*k*c-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*G*a*b*r0^3*k*c+1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*G*a*b*r0^3*k-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*M*m0*c*k*r0^2*b-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v*r0^2-2/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v*r0^2*k+2/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v*b*r0^2+1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v*r0^3*k-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v*r0^3*b+1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v*b*r0^2*k-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v*b*r0^2*k*c+2/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v*r0^2*k*c-2/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v*r0^3*k*b-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v*r0^3*k*c+2/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v*r0^3*k*c*b-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v*r0^4*k*c*b+1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v*r0^4*k*b-M*m0*c*k^3/(2*k^2*r0-k*r0-4*k^2*c*r0+1+k^2-2*k+2*k^2*c^2*r0-k^3*r0+2*k*c+k^2*c^2+3*k^3*c*r0-3*k^3*c^2*r0-2*k^2*c+k*c*r0+k^3*c^3*r0)/(k*c-k)*log(k*x*c-k*x+1)-M*m0*c^3*k^3/(2*k^2*r0-k*r0-4*k^2*c*r0+1+k^2-2*k+2*k^2*c^2*r0-k^3*r0+2*k*c+k^2*c^2+3*k^3*c*r0-3*k^3*c^2*r0-2*k^2*c+k*c*r0+k^3*c^3*r0)/(k*c-k)*log(k*x*c-k*x+1)+2*M*m0*c^2*k^3/(2*k^2*r0-k*r0-4*k^2*c*r0+1+k^2-2*k+2*k^2*c^2*r0-k^3*r0+2*k*c+k^2*c^2+3*k^3*c*r0-3*k^3*c^2*r0-2*k^2*c+k*c*r0+k^3*c^3*r0)/(k*c-k)*log(k*x*c-k*x+1)+M*m0*c^2*k^2/(1+k^2-2*k+2*k*c+k^2*c^2-2*k^2*c)/(-1+r0)^2*log(x-1)-M*m0*c*k^2/(1+k^2-2*k+2*k*c+k^2*c^2-2*k^2*c)/(-1+r0)^2*log(x-1)+M*m0*c*k/(1+k^2-2*k+2*k*c+k^2*c^2-2*k^2*c)/(-1+r0)^2*log(x-1)*r0
5楼2012-11-08 16:16:38
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查看全部 5 个回答

猎手传奇

木虫 (正式写手)

【答案】应助回帖

★ ★ ★
likuihei(金币+5): 2011-06-17 12:48:59
sunyang1988(金币+3): 谢谢交流 2011-06-17 18:27:31
I=(G*a*b/(b*x+1)+f*v+M*m0*c*k*x/(((x-1)^2)*(k*x*(c-1)+1)))/(r0-x)
但是积分完成后是“J=***”,
J =G*a*b/(b*r0+1)*log(b*x+1)-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v+2/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v*r0^2*k*c-M*m0*c*k/(1+k*c-k)/(-1+r0)/(x-1)-M*m0*c*k^3/(2*k^2*r0-k*r0+1-2*k+2*k*c+2*k^2*c^2*r0+k^2-k^3*r0-4*k^2*c*r0-2*k^2*c+k^2*c^2+3*k^3*c*r0+k*c*r0+k^3*c^3*r0-3*k^3*c^2*r0)/(k*c-k)*log(k*x*c-k*x+1)+2*M*m0*c^2*k^3/(2*k^2*r0-k*r0+1-2*k+2*k*c+2*k^2*c^2*r0+k^2-k^3*r0-4*k^2*c*r0-2*k^2*c+k^2*c^2+3*k^3*c*r0+k*c*r0+k^3*c^3*r0-3*k^3*c^2*r0)/(k*c-k)*log(k*x*c-k*x+1)-M*m0*c^3*k^3/(2*k^2*r0-k*r0+1-2*k+2*k*c+2*k^2*c^2*r0+k^2-k^3*r0-4*k^2*c*r0-2*k^2*c+k^2*c^2+3*k^3*c*r0+k*c*r0+k^3*c^3*r0-3*k^3*c^2*r0)/(k*c-k)*log(k*x*c-k*x+1)+M*m0*c^2*k^2/(1-2*k+2*k*c+k^2-2*k^2*c+k^2*c^2)/(-1+r0)^2*log(x-1)-M*m0*c*k^2/(1-2*k+2*k*c+k^2-2*k^2*c+k^2*c^2)/(-1+r0)^2*log(x-1)+M*m0*c*k/(1-2*k+2*k*c+k^2-2*k^2*c+k^2*c^2)/(-1+r0)^2*log(x-1)*r0-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*G*a*b-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*r0*f*v*b+1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*r0*f*v*k-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*r0*f*v*k*c+2/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*r0*f*v-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*M*m0*c*k*r0-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*G*a*b*r0^2-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*M*m0*c*k*r0^2*b-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*G*a*b*r0^3*k*c-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*G*a*b*k*c*r0+1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*G*a*b*k*r0-2/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*G*a*b*r0^2*k+2/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*G*a*b*r0^2*k*c+1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*G*a*b*r0^3*k+2/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*G*a*b*r0+2/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v*b*r0^2-2/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v*r0^2*k-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v*r0^3*k*c+1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v*r0^4*k*b-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v*r0^2-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v*b*r0^2*k*c+1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v*b*r0^2*k+2/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v*r0^3*k*c*b+1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v*r0^3*k-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v*r0^3*b-2/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v*r0^3*k*b-1/(b*r0+1)/(-k*r0+1+k*c*r0)/(-1+r0)^2*log(-r0+x)*f*v*r0^4*k*c*b
2楼2011-06-16 10:00:03
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likuihei

金虫 (正式写手)

这么长啊,为什么我在自己电脑上就算不出来呢
每天重复同样的事情,需要很大的耐性
3楼2011-06-17 12:49:39
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ming_dolphin

新虫 (初入文坛)

★ ★ ★
sunyang1988(金币+3): 谢谢交流 2011-07-21 00:14:34
J =

-1/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*f*v+G*a*b/(b*r0+1)*log(b*x+1)-M*m0*c*k/(1-k+k*c)/(r0-1)/(x-1)+2*M*m0*c^2*k^3/(2*k^2*r0+k^2*c^2-k^3*r0-2*k-k*r0+2*k^2*c^2*r0+2*k*c-3*k^3*c^2*r0-4*k^2*c*r0-2*k^2*c+k^2+k^3*c^3*r0+k*c*r0+1+3*k^3*c*r0)/(k*c-k)*log(k*x*c-k*x+1)-M*m0*c^3*k^3/(2*k^2*r0+k^2*c^2-k^3*r0-2*k-k*r0+2*k^2*c^2*r0+2*k*c-3*k^3*c^2*r0-4*k^2*c*r0-2*k^2*c+k^2+k^3*c^3*r0+k*c*r0+1+3*k^3*c*r0)/(k*c-k)*log(k*x*c-k*x+1)-M*m0*c*k^3/(2*k^2*r0+k^2*c^2-k^3*r0-2*k-k*r0+2*k^2*c^2*r0+2*k*c-3*k^3*c^2*r0-4*k^2*c*r0-2*k^2*c+k^2+k^3*c^3*r0+k*c*r0+1+3*k^3*c*r0)/(k*c-k)*log(k*x*c-k*x+1)+M*m0*c^2*k^2/(k^2*c^2-2*k+2*k*c-2*k^2*c+k^2+1)/(r0-1)^2*log(x-1)-M*m0*c*k^2/(k^2*c^2-2*k+2*k*c-2*k^2*c+k^2+1)/(r0-1)^2*log(x-1)+M*m0*c*k/(k^2*c^2-2*k+2*k*c-2*k^2*c+k^2+1)/(r0-1)^2*log(x-1)*r0+2/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*f*v*b*r0^2-1/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*G*a*b-1/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*r0*f*v*k*c-1/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*r0*f*v*b+1/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*r0*f*v*k+2/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*r0*f*v-1/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*M*m0*c*k*r0-1/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*G*a*b*r0^2+2/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*G*a*b*r0-1/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*G*a*b*k*c*r0+1/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*G*a*b*k*r0-2/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*G*a*b*r0^2*k+2/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*G*a*b*r0^2*k*c-1/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*G*a*b*r0^3*k*c+1/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*G*a*b*r0^3*k-1/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*M*m0*c*k*r0^2*b-2/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*f*v*r0^2*k-1/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*f*v*r0^3*b+1/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*f*v*r0^3*k-1/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*f*v*r0^2-2/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*f*v*r0^3*k*b+1/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*f*v*r0^4*b*k+1/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*f*v*b*r0^2*k-1/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*f*v*b*r0^2*k*c+2/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*f*v*r0^2*k*c+2/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*f*v*r0^3*k*c*b-1/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*f*v*r0^3*k*c-1/(-k*r0+1+k*c*r0)/(b*r0+1)/(r0-1)^2*log(-r0+x)*f*v*r0^4*b*k*c
4楼2011-07-16 20:38:11
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[硕博家园] 售SCI一区T0P文章,我:8.O55.1.O.54,科目全,可十急 +5 hNpp4Y2CGvSC 2026-11-04 13/650 2026-11-11 09:22 by Equinoxhua
[公派出国] 售SCI-T0P文章,我:8O.5.5.1.O.54,科目齐全,可+急 +4 zSbvVX9JFl9J 2026-11-09 6/300 2026-11-11 07:06 by Z7qfCsdIiD1T
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[考研] 售SCI一区T0P文章,我:8.O.55.1.O54,科目全,可伽急 +3 FChKX8meu1ds 2026-11-09 5/250 2026-11-11 04:29 by Z7qfCsdIiD1T
[考研] 售SCI文章,我:8O.5.5.1O.54,科目全,可十急 +4 0TEMgxdT1eIw 2026-11-09 6/300 2026-11-11 01:10 by Z7qfCsdIiD1T
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[考博] 售SCI一区T0P文章,我:8.O.55.1.O54,科目全,可伽急 +5 kvewwGtKktqB 2026-11-04 12/600 2026-11-09 13:26 by Equinoxhua
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