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 () ± ())
,
33
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() ()8ce(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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