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function [q,step] = CombineTraprl(f,a,b,eps)
%±»»ýº¯Êý£º f;
%»ý·ÖÇø¼ä×ó¶Ëµã£ºa;
%»ý·ÖÇø¼äÓҶ˵㣺b;
%eps ¾«¶È£»
%»ý·Ö½á¹û£ºq;
%step »ý·ÖµÄ×ÓÇø¼äÊý£»
if(nargin==3);
    eps=1.0e-4;
end
n=1;
h=(b-a)/2;
q1=0;
q2=(subs(sym(f),findsym(sym(f)),a)+subs(sym(f),findsym(sym(f)),b))/h;
while abs(q2-q1)>eps;
    n=n+1;
    h=(b-a)/n;
    q1=q2;
    q2=0;
    for i=0:n-1;
        x=a+h*i;
        x1=x+h;
        q2=q2+(h/2)*(subs(sym(f),findsym(sym(f)),x)+...
            subs(sym(f),findsym(sym(f)),x1));
    end
end
q=q2;
step=n;
??? Input argument "b" is undefined.

Error in ==> CombineTraprl at 12
h=(b-a)/2;

>>

³ÌÐò2£º
function y = trapm(n,a,b)
format long
h = (b - a)/n;
sym x fx
fx = sqrt(4 - x^2);
f0 = subs(fx,'x',a);
fn = subs(fx,'x',b);
sum = f0;
for i = 1:n-1
    xi = a + i* h;
    fi = subs(fx,'x',xi);
    sum = sum + 2* fi;
end
sum = sum + fn;
y = h* sum/2;

??? Input argument "b" is undefined.

Error in ==> trapm at 3
h = (b - a)/n;

>>
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[ Last edited by 309065816 on 2013-7-10 at 20:54 ]
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309065816: ½ð±Ò+3 2013-07-11 09:15:33
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309065816(jjdg´ú·¢): ½ð±Ò+5, ÐÁ¿àÁË 2013-07-11 04:11:54
309065816: ½ð±Ò+10, ¡ï¡ï¡ï¡ï¡ï×î¼Ñ´ð°¸ 2013-07-11 09:15:43
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5Â¥: Originally posted by ÔÂÖ»À¶ at 2013-07-10 22:20:21
Ô­ÎĵijÌÐòûÓÐ´í£¬³öÏÖÎÊÌ⣬ÔÚÓÚÆäÒ»³ÌÐò³­Ð´²»Ò»Ö£¬Ä㳭д¡°syms¡­¡­¡±µÄʱºò£¬ÉÙÁËÒ»¸ö×Öĸ"s"£»Æä¶þ³ÌÐòµ÷Ó÷½Ê½²»¶Ô£¬²»ÊÇÖ±½ÓÔËÐÐÕâЩmÎļþ¶øÓ¦¸ÃÊǰ´µ÷ÓøñʽÀ´¡£
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5Â¥: Originally posted by ÔÂÖ»À¶ at 2013-07-10 22:20:21
Ô­ÎĵijÌÐòûÓÐ´í£¬³öÏÖÎÊÌ⣬ÔÚÓÚÆäÒ»³ÌÐò³­Ð´²»Ò»Ö£¬Ä㳭д¡°syms¡­¡­¡±µÄʱºò£¬ÉÙÁËÒ»¸ö×Öĸ"s"£»Æä¶þ³ÌÐòµ÷Ó÷½Ê½²»¶Ô£¬²»ÊÇÖ±½ÓÔËÐÐÕâЩmÎļþ¶øÓ¦¸ÃÊǰ´µ÷ÓøñʽÀ´¡£
±ÈÈ磬ԭÎÄÖÐÌÝÐη¨µÄ³ÌÐò±àд ...

[q,s]=CombineTraprl('sqrt(4-x^2)',0,2,1.0e-4)
ÕâÊǵÚÒ»¸ö³ÌÐòÀïÃæ×îºóµÄÃüÁ¶øÇÒ°´ÕÕ±àµÄ³ÌÐò¿ÉÒÔ¿´³ö£¬Ä¬ÈϾ«¶È¾ÍÊÇСÊýµãºó4λµÄ£¬ÎªÊ²Ã´³öÀ´µÄ½á¹ûÊÇÕâÑùµÄ£º
q =

   3.138365760415841


s =

    51
7Â¥2013-07-11 09:22:05
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6Â¥: Originally posted by 309065816 at 2013-07-11 09:17:02
Ì«¸ÐлÄãÁË¡£Ö®Ç°Ò²ËѹýÀàËÆµÄÌû×Ó£¬·¢Ïֺܶ඼ÓÐÄãµÄ»Ø¸´£¬´óÉñѽ¡£ÏëÔÙÎÊÒ»ÏÂѽ£¬ÎÒÏë°Ñ½á¹ûµÄ¾«È·µ½Ð¡Êýµãºó4λÔõôÌí¼Ó³ÌÐòÄØ£¿...

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>> digits 9
>> vpa(pi)

ans =

                                  3.14159265
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8Â¥2013-07-11 09:23:03
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309065816

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5Â¥: Originally posted by ÔÂÖ»À¶ at 2013-07-10 22:20:21
Ô­ÎĵijÌÐòûÓÐ´í£¬³öÏÖÎÊÌ⣬ÔÚÓÚÆäÒ»³ÌÐò³­Ð´²»Ò»Ö£¬Ä㳭д¡°syms¡­¡­¡±µÄʱºò£¬ÉÙÁËÒ»¸ö×Öĸ"s"£»Æä¶þ³ÌÐòµ÷Ó÷½Ê½²»¶Ô£¬²»ÊÇÖ±½ÓÔËÐÐÕâЩmÎļþ¶øÓ¦¸ÃÊǰ´µ÷ÓøñʽÀ´¡£
±ÈÈ磬ԭÎÄÖÐÌÝÐη¨µÄ³ÌÐò±àд ...

µÚ¶þ¸ö³ÌÐòÊÇÒªÔõôд²ÅÄÜ¿ØÖƾ«¶ÈÄØ£¿
>> trapm(10000,0,2)

ans =

   3.141591477611321
9Â¥2013-07-11 09:23:43
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309065816

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ÒýÓûØÌû:
8Â¥: Originally posted by ÔÂÖ»À¶ at 2013-07-11 09:23:03
½«vpaÓëdigitsÁªÓÃ
È磺ԲÖÜÂÊpiÈ¡9λÓÐЧÊý×Ö£º
>> digits 9
>> vpa(pi)

ans =

                                  3.14159265...

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