INTEGRALES

July 7, 2022 | Author: Anonymous | Category: N/A
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ME\PMP^LMÜE N@^LAPMYA @M\PZMPAC NC CMJAEG

PZAJAKG @N HAPNHAPMLA\ –MEPNOZACN\‘  

VZN\NEPA@G VGZ; KM[NPB C^LMA LA^\A@G

VZN\NEPA@G A; RRRRRRRRRRRRRRRRRRRRRRRRRR

\AEPA HAZPA, \NVPMNHJZN @N :61=

 

Lgetnem`g 1. MEPZG@^LLMÜE ....................... ................................................. ................................................... ............................................... ...................... < :. GJKNPMYG\ ...................................................................... ............................................................................................... .................................. ......... 0 >. VZMELMVACN\ ZNOCA\ @N CA MEPNOZALMÜE .......... .................................... ...................................... ............ 9 9. NKNZLMLMG\ @N\AZZZGCCA@G\ ........................ ................................................. ........................................... .................. ? ?. AVCMLALMGEN\ @N CA\ MEPNOZACN\.................. MEPNOZACN\........................................... ........................................... .................. = 2. LGELC^\MGEN\....................... ................................................. ................................................... ............................................. .................... 11 2. JMJCMGOZAIÈA .......................... .................................................... ................................................... ............................................. .................... 11

 

 

1. MEPZG@^LLMÜE Nc láclucg metnorac ns uea raha `n cas hatnhátmlas ne nc prglnsg `n metnoralmüe g aetm `nrmvalmüe, ns huy lghûe ne ca meonemnrèa y ne ca hatnhátmla ne onenrac y sn utmcmza prmelmpachnetn para nc láclucg `n árnas y vgcûhnens `n rnomgens y sücm`gs `n rnvgculmüe. Nc láclucg metnorac tmnen su grmone ne nc nstu`mg `nc árna `n imouras pcaeas4 cas iürhucas para nc láclucg `n cas árnas `n trmáeoucgs y rnltáeoucgs nrae ya lgeglm`as ne ca Ornlma lcásmla, asè lghg ca `n cgs pgcèogegs rnoucarns lge prnvma `nslghpgsmlmüe ne trmáeoucgs.

Imo. 1; Vgcèogegs `nslghpunstgs ne trmáeoucgs

Iun usa`g pgr prmhnra vnz pgr lmnetèim lmnetèimlgs lgs lghg Arquèhn`ns, Zneí @nslartns @nslartns,, Msaal Enwtge, Ogttirmn` Cnmjemz n Msaal Jarrgw. Cgs trajakgs `n nstn ûctmhg y cgs apgrtns `n Enwtge onenrarge nc tngrnha iue`ahnetac `nc láclucg metnorac, qun prgpgen qun ca `nrmvalmüe y ca metnoralmü metnoralmüee sge prglnsgs mevnrsgs.

 

:. GJKNPMYG\   Lghprne`nr cgs lgelnptgs iue`ahnetacns `nc láclucg metnorac.



  Znlgeglnr cgs `minrnetns tngrnhas `nc Laclucg metnorac



  M`netmimlar cas apcmlalmgen apcmlalmgenss `nc láclucg metnorac ne ca sgculmüe `n smtualmgens



prgjcnhas.

. 19?>.  Vara me`mlar suhha (ŷuhha4 ne catme "suha" g "tgtac"), a`aptü nc sèhjgcg metnorac

"∤"∤"", a partmr `n uea cntra \ acaroa`a pgrqun lgesm`nraja a ca

metnorac lghg uea suha meimemta `n a`ne`as (suhae`g (suhae`gs) s) meimemtnsmha meimemtnsmhacns. cns.

 

Ca egtalmüe hg`nrea `n ca metnorac `nimem`a, lge cgs cèhmtns arrmja y ajakg `nc smoeg metnorac, ca usü pgr prmhnra vnz Kgsnpb Igurmnr ne Híhgmrns  `n ca Ala`nhma Iraelnsa, acrn`n`gr `n 121=-:6, rnmhprnsa ne su cmjrg `n 12::. Nxmstne cmonras `minrnelmas ne ca egtalmüe `nc sèhjgcg `n ca metnorac ne ca cmtnratura `n cas `mvnrsas cneouas; nc sèhjgcg meocís nstá melcmea`g balma ca `nrnlba, ne acnháe tra`mlmgeachnetn sn ba nslrmtg `nrnlbg (sme melcmealmüe) hmnetras ca varmaetn rusa tra`mlmgeac nstá melcmea`a balma ca mzqumnr`a.

0. VZGVMN@A@N\ @N CA\ MEPNOZACN\ Cas prgpmn`a`ns jásmlas `n ca metnoralmüe sge cas smoumnetns;   Ca metnorac `n ca suha `n iuelmgens ns mouac a ca suha `n ca metnorac `n ca cass



iuelmgens.

    ( () ± ()) 8  () ±  ())))    Ca metnorac `nc prg`ultg `n ue eûhnrg pgr uea iuelmüe ns mouac ac prg`ultg



`nc eûhnrg pgr ca metnorac `n ca iuelmüe.

    ∝ (() 8   ()    \m nc puetg l ns ue puetg metnrhn`mg `nc metnrvacg



netgelns;

, ns `nlmr,

T,X     ( () ± ()) 8  () ±  ()) 

,

33

  Ca metno metnorac rac lgesnrva lgesnrva cas `nsmouac`a`ns. `nsmouac`a`ns. Ns `nlmr, sm tnenhgs ``gs gs iuelmg iuelmgens ens



  y  metnorajcns ne ue metnrvacg T,X, y  () ≠ ()  metnrvacg, netgelns;









 () ≠  () 



ne la`a puetg  `nc

 

  \m uea iuelmüe ns pgsmtmva ne nc metnrvacg



T,X, netgelns su s u metnorac tahjmíe

cg snrá;

 () 5 6  T, , X ↚

  () 5 6 

  Mevnrsmüe `nc metnrvacg `n metnoralmüe



   () 8  ()  >. VZMELMVACN\ ZNOCA\ @N CA MEPNOZALMÜE   Metnorac `n uea lgestaetn



∝8 

  Metnorac `n uea pgtnelma



+      8   

1

  Metnorac `n uea iuelmüe mevnrsa



8ce|||     1 8ce   Metnorac `n nxpgenelmacns



  8          8 ce||      Acoueas metnora metnoracns cns trmogeghítrmlas trmogeghítrmlas



 ()8()   

 

 ()8()     ()8ce(lgs)    9. NKNZLMLMG\ @N\AZZZGCCA@G\ Nknrlmlmg 1;

>  8 >    Nknrlmlmg :;

+         8   8   

2))  8 >2  + +  8 :  1  > 1  1 2     8 <  > : 2   >   8 <  : 2 Nknrlmlmg 0; (0  9 2< 2
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