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[未答复] 符号积分之后的函数很长,验证结果只有前面的一部分能算,结果比估计值小。从某一部分开始,结果都是NAN。

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财富积分


050


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最佳答案
发表于 2019-10-9 21:58:53 | 显示全部楼层 |阅读模式
T=((3302381176210733*exp((2268183623165989*u)/1099511627776 - (2268183623165989*t)/1099511627776)*((2324804920692753*besselj(0, (6392179884858751*Rc)/140737488355328))/36893488147419103232 + (4732800927102931*bessely(0, (6392179884858751*Rc)/140737488355328))/36028797018963968))/8796093022208 - (5166458668302857*exp((6129299973207821*u)/4503599627370496 - (6129299973207821*t)/4503599627370496)*((7456179388509999*besselj(0, (2626971311005353*Rc)/2251799813685248))/9007199254740992 + (7614046418451707*bessely(0, (2626971311005353*Rc)/2251799813685248))/18014398509481984))/562949953421312 - (7160733383087293*exp((660504215338699*u)/17179869184 - (660504215338699*t)/17179869184)*((8758410648846231*besselj(0, (215589545566193*Rc)/1099511627776))/1152921504606846976 + (4522083579314975*bessely(0, (215589545566193*Rc)/1099511627776))/72057594037927936))/4398046511104 + (3669601203788033*exp((5592108986683091*u)/2199023255552 - (5592108986683091*t)/2199023255552)*((1795796495098497*besselj(0, (3548564494879667*Rc)/70368744177664))/18014398509481984 - (5394039858318289*bessely(0, (3548564494879667*Rc)/70368744177664))/72057594037927936))/8796093022208 + (2935919355215317*exp((3564959330291251*u)/549755813888 - (3564959330291251*t)/549755813888)*((6924064614830381*besselj(0, (5666595011378641*Rc)/70368744177664))/288230376151711744 - (3447072495096833*bessely(0, (5666595011378641*Rc)/70368744177664))/36028797018963968))/4398046511104 - (7339987768863241*exp((5565166020784153*u)/549755813888 - (5565166020784153*t)/549755813888)*((4805234612379187*besselj(0, (3540005622697403*Rc)/35184372088832))/72057594037927936 - (4165023905214245*bessely(0, (3540005622697403*Rc)/35184372088832))/72057594037927936))/8796093022208 - (4587638021002445*exp((4345238474450273*u)/274877906944 - (4345238474450273*t)/274877906944)*((7572887428603887*besselj(0, (4423710475875449*Rc)/35184372088832))/144115188075855872 + (4245213277471755*bessely(0, (4423710475875449*Rc)/35184372088832))/72057594037927936))/4398046511104 - (1192891231210539*exp((4699439991227663*u)/274877906944 - (4699439991227663*t)/274877906944)*((1173457442843839*besselj(0, (575059727785717*Rc)/4398046511104))/72057594037927936 - (5453306628841129*bessely(0, (575059727785717*Rc)/4398046511104))/72057594037927936))/1099511627776 - (2568950008696095*exp((5463068543148859*u)/1099511627776 - (5463068543148859*t)/1099511627776)*((948226909995721*besselj(0, (1240047213194539*Rc)/17592186044416))/9007199254740992 - (3377288642100143*bessely(0, (1240047213194539*Rc)/17592186044416))/576460752303423488))/4398046511104 - (2018321666237025*exp((844868918875125*u)/274877906944 - (844868918875125*t)/274877906944)*((8219659286381283*besselj(0, (3901256899114913*Rc)/70368744177664))/72057594037927936 + (4830358439932211*bessely(0, (3901256899114913*Rc)/70368744177664))/144115188075855872))/4398046511104 - (3486476009270789*exp((5023444399343627*u)/549755813888 - (5023444399343627*t)/549755813888)*((8560622608658659*besselj(0, (3363300635164835*Rc)/35184372088832))/1152921504606846976 + (1625504875392947*bessely(0, (3363300635164835*Rc)/35184372088832))/18014398509481984))/4398046511104 + (3190157664591255*exp((5031572399485631*u)/140737488355328 - (5031572399485631*t)/140737488355328)*((7022808223734893*besselj(0, (3366020468105561*Rc)/562949953421312))/36028797018963968 + (5554102535632779*bessely(0, (3366020468105561*Rc)/562949953421312))/18014398509481984))/70368744177664 - (779859788432143*exp((1005835293073661*u)/137438953472 - (1005835293073661*t)/137438953472)*((3192516781874243*besselj(0, (6019886677393609*Rc)/70368744177664))/36028797018963968 - (2606012944126215*bessely(0, (6019886677393609*Rc)/70368744177664))/72057594037927936))/1099511627776 - (3670300906845711*exp((5696114574581047*u)/8796093022208 - (5696114574581047*t)/8796093022208)*((6192561081831383*besselj(0, (3581411696213021*Rc)/140737488355328))/72057594037927936 + (2757534037828381*bessely(0, (3581411696213021*Rc)/140737488355328))/18014398509481984))/17592186044416 + (2660889185223179*exp((5845385605621127*u)/274877906944 - (5845385605621127*t)/274877906944)*((4549225899585995*besselj(0, (5130816351742885*Rc)/35184372088832))/576460752303423488 + (5251266352968283*bessely(0, (5130816351742885*Rc)/35184372088832))/72057594037927936))/2199023255552 + (619376542108573*exp((2533765839936097*u)/137438953472 - (2533765839936097*t)/137438953472)*((1250445182576835*besselj(0, (4777251697907553*Rc)/35184372088832))/18014398509481984 - (8896107787846745*bessely(0, (4777251697907553*Rc)/35184372088832))/288230376151711744))/549755813888 + (6055376529920835*exp((236492994196809*u)/8589934592 - (236492994196809*t)/8589934592)*((4873459835052613*besselj(0, (5837999001138611*Rc)/35184372088832))/144115188075855872 - (8621325605977827*bessely(0, (5837999001138611*Rc)/35184372088832))/144115188075855872))/4398046511104 + (744318615812103*exp((4039525169972189*u)/35184372088832 - (4039525169972189*t)/35184372088832)*((2131728748655917*besselj(0, (3015991051896581*Rc)/281474976710656))/72057594037927936 - (2427059441500675*bessely(0, (3015991051896581*Rc)/281474976710656))/9007199254740992))/8796093022208 + (8807361570841519*exp((2009225227218209*u)/549755813888 - (2009225227218209*t)/549755813888)*((2836895506027785*besselj(0, (8508229420791767*Rc)/140737488355328))/72057594037927936 + (7697928989311291*bessely(0, (8508229420791767*Rc)/140737488355328))/72057594037927936))/17592186044416 + (5871648896829439*exp((7116342956223323*u)/274877906944 - (7116342956223323*t)/274877906944)*((1040399221573741*besselj(0, (5661197707719455*Rc)/35184372088832))/36028797018963968 + (286107561503865*bessely(0, (5661197707719455*Rc)/35184372088832))/4503599627370496))/4398046511104 + (6605376826065747*exp((281419239256879*u)/8589934592 - (281419239256879*t)/8589934592)*((463372534971273*besselj(0, (6368421044000577*Rc)/35184372088832))/36028797018963968 - (72649233696237*bessely(0, (6368421044000577*Rc)/35184372088832))/1125899906842624))/4398046511104 + (2938151706423303*exp((7386407566733461*u)/17592186044416 - (7386407566733461*t)/17592186044416)*((6938886663154009*besselj(0, (5767618430959821*Rc)/281474976710656))/36028797018963968 + (2494071973763221*bessely(0, (5767618430959821*Rc)/281474976710656))/72057594037927936))/17592186044416 - (5686459193332199*exp((6678800304609123*u)/274877906944 - (6678800304609123*t)/274877906944)*((2501911434180159*besselj(0, (2742199963675133*Rc)/17592186044416))/36028797018963968 + (4122433139213537*bessely(0, (2742199963675133*Rc)/17592186044416))/288230376151711744))/4398046511104 - (8835728514508001*exp((4264665940480905*u)/17592186044416 - (4264665940480905*t)/17592186044416)*((6333653862470249*besselj(0, (4382504756461703*Rc)/281474976710656))/36028797018963968 - (314749167755203*bessely(0, (4382504756461703*Rc)/281474976710656))/2251799813685248))/70368744177664 + (596348276971553*exp((2356490470862601*u)/549755813888 - (2356490470862601*t)/549755813888)*((2161563297516883*besselj(0, (4607100955368557*Rc)/70368744177664))/36028797018963968 - (3296148975031815*bessely(0, (4607100955368557*Rc)/70368744177664))/36028797018963968))/1099511627776 + (1737090523567007*exp((5016646648197193*u)/137438953472 - (5016646648197193*t)/137438953472)*((4030045110436039*besselj(0, (6722048493646907*Rc)/35184372088832))/72057594037927936 + (8991925192715923*bessely(0, (6722048493646907*Rc)/35184372088832))/288230376151711744))/1099511627776 - (4403582324216397*exp((8142378338123295*u)/8796093022208 - (8142378338123295*t)/8796093022208)*((4377747107443703*besselj(0, (8563879033414901*Rc)/281474976710656))/72057594037927936 - (5353361692062429*bessely(0, (8563879033414901*Rc)/281474976710656))/36028797018963968))/17592186044416 + (3216076453464355*exp((4256156080904649*u)/137438953472 - (4256156080904649*t)/137438953472)*((814612620694629*besselj(0, (3095805463848855*Rc)/17592186044416))/18014398509481984 + (220984759290937*bessely(0, (3095805463848855*Rc)/17592186044416))/4503599627370496))/2199023255552 - (8074044436317057*exp((3365974839433347*u)/274877906944 - (3365974839433347*t)/274877906944)*((2397136412793589*besselj(0, (3893456437744037*Rc)/35184372088832))/72057594037927936 + (5569570819217517*bessely(0, (3893456437744037*Rc)/35184372088832))/72057594037927936))/8796093022208 - (2569036451251627*exp((5449513548959307*u)/274877906944 - (5449513548959307*t)/274877906944)*((2329485620075947*besselj(0, (1238507851924131*Rc)/8796093022208))/36028797018963968 + (5362384332079489*bessely(0, (1238507851924131*Rc)/8796093022208))/144115188075855872))/2199023255552 + (2568627437706697*exp((2758135535810795*u)/2199023255552 - (2758135535810795*t)/2199023255552)*((5163632472569743*besselj(0, (2492141465819589*Rc)/70368744177664))/36028797018963968 - (2876455862694693*bessely(0, (2492141465819589*Rc)/70368744177664))/72057594037927936))/8796093022208 + (5504812401006775*exp((6268714223104227*u)/1099511627776 - (6268714223104227*t)/1099511627776)*((1169011011989101*besselj(0, (1328339636521481*Rc)/17592186044416))/18014398509481984 + (2829306422639301*bessely(0, (1328339636521481*Rc)/17592186044416))/36028797018963968))/8796093022208 - (6779347362406879*exp((297262792724011*u)/8589934592 - (297262792724011*t)/8589934592)*((2122815938738509*besselj(0, (6545233630770945*Rc)/35184372088832))/36028797018963968 - (7843033023006979*bessely(0, (6545233630770945*Rc)/35184372088832))/288230376151711744))/4398046511104 + (3302958891477849*exp((70460981518749*u)/8589934592 - (70460981518749*t)/8589934592)*((1428191683877607*besselj(0, (6373224491129719*Rc)/70368744177664))/18014398509481984 + (7010593956892049*bessely(0, (6373224491129719*Rc)/70368744177664))/144115188075855872))/4398046511104 - (2935579190323309*exp((3591715478378991*u)/2199023255552 - (3591715478378991*t)/2199023255552)*((4004076858373309*besselj(0, (5687820055179043*Rc)/140737488355328))/36028797018963968 + (3023650605761949*bessely(0, (5687820055179043*Rc)/140737488355328))/36028797018963968))/8796093022208 + (7707017736670245*exp((1533666940041211*u)/137438953472 - (1533666940041211*t)/137438953472)*((6049664875173351*besselj(0, (7433449729260323*Rc)/70368744177664))/72057594037927936 + (5537313827460105*bessely(0, (7433449729260323*Rc)/70368744177664))/288230376151711744))/8796093022208 - (6419764487937839*exp((2008274720484223*u)/68719476736 - (2008274720484223*t)/68719476736)*((2423058542036683*besselj(0, (3007401749489139*Rc)/17592186044416))/36028797018963968 - (1120428839120195*bessely(0, (3007401749489139*Rc)/17592186044416))/144115188075855872))/4398046511104 - (8441061524032677*exp((7357011825356991*u)/549755813888 - (7357011825356991*t)/549755813888)*((6029141969213951*besselj(0, (8140397498309045*Rc)/70368744177664))/144115188075855872 - (2553530887613261*bessely(0, (8140397498309045*Rc)/70368744177664))/36028797018963968))/8796093022208 + (5507503231252563*exp((3127573927914097*u)/137438953472 - (3127573927914097*t)/137438953472)*((960666163996593*besselj(0, (5307606009554139*Rc)/35184372088832))/18014398509481984 - (6986776080331625*bessely(0, (5307606009554139*Rc)/35184372088832))/144115188075855872))/4398046511104 + (8807975150067011*exp((8009854238313197*u)/549755813888 - (8009854238313197*t)/549755813888)*((2889008746291471*besselj(0, (2123475234225705*Rc)/17592186044416))/36028797018963968 - (4528342455931001*bessely(0, (2123475234225705*Rc)/17592186044416))/576460752303423488))/8796093022208)*((7516173585163781*exp(-(3564959330291251*u)/549755813888))/27487790694400 - (293992891544787*exp(-(5023444399343627*u)/549755813888))/1073741824000 - (7534042689552693*exp(-(7357011825356991*u)/549755813888))/27487790694400 - (942842000094817*exp(-(236492994196809*u)/8589934592))/3435973836800 + (4942117490830411*exp(-(6129299973207821*u)/4503599627370496))/68719476736000 + (7547892659584861*exp(-(5064126671810153*u)/68719476736))/27487790694400 - (1886409622884287*exp(-(5839643204020199*u)/137438953472))/6871947673600 - (2414214320234249*exp(-(297262792724011*u)/8589934592))/8796093022208 - (4712693322288709*exp(-(5845385605621127*u)/274877906944))/17179869184000 + (1178623762852701*exp(-(2008274720484223*u)/68719476736))/4294967296000 + (94353763814741*exp(-(5841979793029607*u)/68719476736))/343597383680 - (1696527371135651*exp(-(4264665940480905*u)/17592186044416))/6871947673600 - (4716327503123533*exp(-(6423033131956317*u)/137438953472))/17179869184000 + (7545365102742487*exp(-(2779182953894155*u)/68719476736))/27487790694400 + (2358232563011271*exp(-(3362572882263265*u)/68719476736))/8589934592000 + (943005858820981*exp(-(281419239256879*u)/8589934592))/3435973836800 - (4517330197388947*exp(-(5696114574581047*u)/8796093022208))/17179869184000 + (442048309240437*exp(-(7386407566733461*u)/17592186044416))/1717986918400 + (589139681217639*exp(-(3127573927914097*u)/137438953472))/2147483648000 - (150965861431789*exp(-(2821153838138417*u)/34359738368))/549755813888 + (6035809522342687*exp(-(5016646648197193*u)/137438953472))/21990232555520 + (188311874970499*exp(-(3365974839433347*u)/274877906944))/687194767360 - (943501380839521*exp(-(5253381115718549*u)/68719476736))/3435973836800 - (2358297510100777*exp(-(7034203509996617*u)/137438953472))/8589934592000 - (943550680696431*exp(-(377820279218305*u)/4294967296))/3435973836800 - (4717365466968833*exp(-(4878344785405501*u)/68719476736))/17179869184000 - (1179205598452133*exp(-(959144292612193*u)/17179869184))/4294967296000 + (4705384716335127*exp(-(5565166020784153*u)/549755813888))/17179869184000 + (4574558681683201*exp(-(8142378338123295*u)/8796093022208))/17179869184000 - (1171649166915799*exp(-(2356490470862601*u)/549755813888))/4294967296000 + (4681022731708753*exp(-(2009225227218209*u)/549755813888))/17179869184000 + (4717605419995813*exp(-(1361527029297383*u)/17179869184))/17179869184000 + (4717108583440449*exp(-(8683668941071757*u)/137438953472))/17179869184000 + (589740019322259*exp(-(1174008864110011*u)/17179869184))/2147483648000 - (6093558687066109*exp(-(5031572399485631*u)/140737488355328))/34359738368000 + (4717904868128409*exp(-(6675393837542377*u)/68719476736))/17179869184000 + (1549231853177307*exp(-(4039525169972189*u)/35184372088832))/6871947673600 - (940013609023421*exp(-(1005835293073661*u)/137438953472))/3435973836800 + (3773608994064007*exp(-(7350206368690359*u)/137438953472))/13743895347200 - (2355836654953989*exp(-(2533765839936097*u)/137438953472))/8589934592000 + (2332315857101773*exp(-(5592108986683091*u)/2199023255552))/8589934592000 - (2356763125318793*exp(-(6678800304609123*u)/274877906944))/8589934592000 - (4673906684823817*exp(-(844868918875125*u)/274877906944))/17179869184000 - (6038912878657091*exp(-(6461831489712823*u)/68719476736))/21990232555520 + (4635184521961197*exp(-(3591715478378991*u)/2199023255552))/17179869184000 - (1509448862478923*exp(-(4169942813432999*u)/68719476736))/5497558138880 - (2950945004237533*exp(-(2758135535810795*u)/2199023255552))/10995116277760 + (1880853551997719*exp(-(70460981518749*u)/8589934592))/6871947673600 + (4822667426721845*exp(-(8009854238313197*u)/549755813888))/17592186044416 + (4717788813259153*exp(-(3125870849853983*u)/34359738368))/17179869184000 - (3771818580921579*exp(-(4256156080904649*u)/137438953472))/13743895347200 - (3019008417161313*exp(-(1129299671210715*u)/17179869184))/10995116277760 - (2357836067824481*exp(-(660504215338699*u)/17179869184))/8589934592000 + (58888372576163*exp(-(4699439991227663*u)/274877906944))/214748364800 - (1488716670973023*exp(-(2268183623165989*u)/1099511627776))/5497558138880 - (7530683255674247*exp(-(1533666940041211*u)/137438953472))/27487790694400 - (588799667210567*exp(-(4345238474450273*u)/274877906944))/2147483648000 + (3768568448205253*exp(-(8003047426878161*u)/137438953472))/13743895347200 + (4713886766407983*exp(-(7116342956223323*u)/274877906944))/17179869184000 + (4716176584469631*exp(-(1531966402980827*u)/34359738368))/17179869184000 + (4712210626369287*exp(-(5449513548959307*u)/274877906944))/17179869184000 + (7505672941772979*exp(-(5463068543148859*u)/1099511627776))/27487790694400 - (469464891545593*exp(-(6268714223104227*u)/1099511627776))/1717986918400)

TU=int(T,u,0,t)

b=sprintf('%s',TU);
fileID = fopen('TU.txt','w');
fprintf(fileID,b);
这个积分的结果有很多,只能算一部分。



for m=1:32
    Rc=c(m)


T(m)=(75764302225244350607502525529780717753993038021*exp(-(7357011825356991*t)/549755813888)*besselj(0, (8140397498309045*Rc)/70368744177664)*(exp((12445840027547993*t)/1099511627776) - 1))/78884882906328682379283952882111026323878051840


end




T =

  1 至 25 列

   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN   NaN

  26 至 32 列

   NaN   NaN   NaN   NaN   NaN   NaN   NaN



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