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小木虫论坛-学术科研互动平台 » 计算模拟区 » 计算模拟 » 求助matlab积分的问题
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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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每天重复同样的事情，需要很大的耐性
1楼 2011-06-14 22:02:10
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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
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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
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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
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4楼2011-07-16 20:38:11
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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
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5楼2012-11-08 16:16:38
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[考研] 一志愿211，335分，0856，求调剂院校和导师 +7 倾____萧 2026-03-27 8/400 2026-03-30 09:37 by longlotian
[考研] 318一志愿吉林大学生物与医药 求调剂 +5 笃行致远. 2026-03-28 5/250 2026-03-30 06:56 by ilovexiaobin
[考研] 总分293求调剂 +8 加一一九 2026-03-25 11/550 2026-03-29 19:53 by 无际的草原
[考研] 298求调剂 +3 种圣赐 2026-03-29 3/150 2026-03-29 12:06 by longlotian
[考研] 332求92调剂 +8 蕉蕉123 2026-03-28 8/400 2026-03-29 10:46 by 周梓丹
[考研] 356求调剂 +4 gysy?s?a 2026-03-28 4/200 2026-03-29 10:32 by 唐沐儿
[考研] 316求调剂 +7 江辞666 2026-03-26 7/350 2026-03-28 21:28 by sanrepian
[考研] 343求调剂 +5 爱羁绊 2026-03-28 5/250 2026-03-28 20:53 by 唐沐儿
[考研] 一志愿华理，数一英一285求A区调剂 +8 AZMK 2026-03-25 12/600 2026-03-28 18:15 by AZMK
[考研] 283求调剂 +3 A child 2026-03-28 3/150 2026-03-28 15:41 by ms629
[考研] 340求调剂 +5 jhx777 2026-03-27 5/250 2026-03-28 04:18 by fmesaito
[考研] 070300化学求调剂 +4 起个名咋这么难 2026-03-27 4/200 2026-03-27 21:39 by 83503孙老师
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