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Lq$ Jrî^ 9"*- ù(") , 1l(*) J{"-h t^^ l*, Ul J ' **Aa ; l? ea^ dC*) -. p(,,) , V ,u. L",b). L' ,nrr* [.ft,o,l)nRt, o:*<b , nu(*)r5.P,t\ x .Lo-.* L'^--.- t*^"^t 't{^"[ of{.' o"* ; 9* ! (*,r), l) o R "--fi^"* ; D, d ú,-.'fu ao- 6!*0'- J*Jr : o()r({ t or(*) p(") *,,,k,,ru*; I*,4] o/.le ) ,) Rr ìl- t q, Dt i tf,) Nr *,) ú b ULA ít( J It'J"-'- Ilr" { (*J* J o x (**,)L u( (. (Ftnrn t (J* j* Duat dJ* 1o fr,.l i*r1 - i ( I:;l qi.,or {) t* rl \ v-) t) D= I Yt-t { !"rJ-'q=5J* 1 itbq bozx- I, = \* tt+'- T ji" = + o l[*,r). fP' )t+l I 1 r4=1"J" 2.v- o zl -hx" ot/)c a - - P"J"p-hr \{.o-o a(r) ,p[$)' ie,.t] ' fR , '^t^ - [.,/i iL tge".rúdr&u) vb€[e,d P*LFr^^^Aú,LJr{",* ttf^ll.!^a^-r- b = 1tr.,5)nfRL : d-.--- r\^^ir^^a- { î I f' es5:J, d(t),"sF(o)\ ,ur-'^.[ ,rT"k "ff.' or^* È

Analisi II ( Parte 1 Integrali Doppi)

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Lq$ Jrî^

9"*- ù(") , 1l(*) J{"-h t^^ l*, Ul J ' **Aa ; l?

ea^ dC*) -. p(,,) , V ,u. L",b). L' ,nrr*

[.ft,o,l)nRt, o:*<b , nu(*)r5.P,t\

x .Lo-.* L'^--.- t*^"^t 't{^"[ of{.' o"* ;

9* ! (*,r), l) o R "--fi^"* ; D, d ú,-.'fu ao-

6!*0'-

J*Jr

: o()r({ t

or(*) p(")

*,,,k,,ru*; I*,4]

o/.le )

,)

Rr

ìl-t

q,

Dt i

tf,)

Nr*,)ú

b

ULA

ít(

J

It'J"-'-Ilr"

{

(*J*J

o

x (**,)L

u((.

(Ftnrn

t(J*j*

Duat

dJ*1o fr,.l i*r1 - i ( I:;l qi.,or {) t*

rl

\ v-)

t)

D=

I Yt-t {

!"rJ-'q=5J* 1 itbqbozx-

I,

= \* tt+'- T ji" = +o

l[*,r). fP'

)t+l I

1 r4=1"J"2.v- o

zl-hx" ot/)c a - -

P"J"p-hr \{.o-o a(r) ,p[$)' ie,.t] ' fR , '^t^ - [.,/i iL tge".rúdr&u)vb€[e,d

P*LFr^^^Aú,LJr{",*

ttf^ll.!^a^-r-

b = 1tr.,5)nfRL

:

d-.--- r\^^ir^^a-

{

îI

f'es5:J, d(t),"sF(o)\

,ur-'^.[ ,rT"k "ff.' or^* È

o.*.th.

Sn ?*,ol

q"à. /udt -^0! .

!o)o r. L

(o.5)e R' '

t t. e"(s),

i=E,vEo t

L*s ; l..

f t*,r) .{'"JlEL

9^ É = l(*,b) € P"l >t2o r 5',o ,

L/W|- -ì^-"0.-tl, ^ ,1,, = fC",,;)e fR':

,-7,"t5,il(-"") ,

lt^ **n""È Pt^o ,

toR/{urA D( Rr òu arotuu)

rJ,|,4

trfa&-0aa^g

t *Íft* ,"- f , &o

rf-FF s

o

Er=ó

e,5r/,

-È?f'^*5 &

IL

*/

{drwtpr$D . l[^,1)nlÈ':

L

(

D

S P(*,r) LJ5 .b

t-?J sx-t 5 \

g- [' b'R g-^k^-- ;

qL/.$$ L [--'fi-- -1"

J**

L

t+l:)

P-r l^ F.,'"k I "J^TI *, J",{t = S\ i'ril = îiq"D i "5' I

o 2- . A0,J"rt

î *5J"qb[= lC'.,$.lPL;

{-<5se t

àr^

o

[.1

E. = ùri=l L I

n à, =d r*

tJ":ltJ i=r '

r r .,f+11+\L^"+ 5

tI-1 '

,["-" \olxs{ t

o-€or,. L, ,t{S)r lZ

rE

fc^,rr J* J,J = $ f c^,t) J"$. $ Pc^,nl l-4

E1 EL

_--€i:er ::_

3-yo6 SRnntiM6Nîo Er vn Ètntslrft

W, heU* Lu^;,^^Lo (&* LoO,',* "îr,È) b b*

,,"ryku,,-

D .. ú b; , w bt ì/q^-.^- ',,1,*-L "ry-fi le A fl/rrl. "ft,'o* 7L:t

td^^,-^---. u. r- V t ^*"L,X-) , ;Jf- úr, n L, 0'4 y i {5J-g,* àe )J.l(*,u).R" q'r*:bi , a,(*)(vsp,(-)1

.mr- d;, [5 t, €'([tt,t,l) .' d,t*) t f3i(*)' V .. t J q,, btl

Trdr-* , l1p, 9o- b J.^':"4o #""" Jl- fú&-' u r/ t

ò,- [,D:pt J;dhl- gt.^b [*"- ,0--*' r*,,'^*,^[Efi,,t"

1"0- " x^t'. d- i ryh"ti0u* '* e.dìtr-rl,-J^* h;.;^oe*. 6L >D r- >$(U)

q&,Àib P',^^,*--- T= 9(u) s à,!a- p,T+P ww P rh^ T

Îuit' lr{[*,t) J-J1 = So ?(ú(*,u)) I ]rg..,u)l J,J" (.ÎJ(I,{*,'),0,G,,) lis{wla*)

0Aflgtnfl€,N'to br vAÈtAÈlLl rrtr gooRbt N^rl PorARl

9.o 1*,5).Pt eo^^ [,t,5) {o , L lue * t^^[ tJ"^ àe/ro/^/v\ó

( g,E) @\,. g'o , 0 e [o,zn | 6L ,0- t ;= \_*-T, ( g. ffi)

r"'ra. $[*,u) .4 (s,t) = (t60, 3*-r) , p* $..(g,e). Sbe,

0"ts,t): )àt4À g

n*-. e '(u))

1* 1^rh e^.ào

&D0

à1l. &

-gà,-glL- l:qe.$"9+Qu,-19:QSere| ' ) )'ro(3'ó)'

L+.r,t)

\l.T

J*o- -[ :

+-0"!*S-

J"Jr)

| (*,f) .{R', \-zo t\?o rr'l :xt{.t, J

r/- s"dLJ:^-*k, d"- [' i;^* Jx'b lts,o)

. , 0

{ ( Ss

z ,

o\c".,-, àì..- D=ftS,e).É, rrStL, ".g.gldU ;,^ Jd^;*:o -d"r' ;gì- $ , b r [R" à0' d- À [ s,u). (S*u, S*o) ;

I l.^ 1O (g,o) . S {o Y [s,o). D j

k fr-^ I #tfu- {é ur*f &n^;. h* D e I iu)

?(*,5) =rc ; J^-.- ,^- T , y-Jt , y,!- b-, lL r*0. /t/L

/hrJSL à: [-t ,. J*4= I $ueo. '-'qt*''),J, = l'4 ît,'*uJeTbio

= l, ,'[ u^g u^-{4. 1t ,'Jr. f {], . 'frà t . t

[rr1;,5 (tt,"tr.",r)J-

\ *ft ,-*'*5" J""{)

IL

slJe efo,

.T ;

L^î

= I, t'/, | *'j""

6 ; [ &^* d; l)

lc*,r) . lR' , xlf-tJJ-t T= .. >t-z | , br, 1

:ct

-5-

=, lRfir= !fi

(rB,o r) )Lb'',) *'.S

l.='

L ',-Í^

Q,^-L

n*t

S tù , J- >t-). l

à l'fu p e j,. à

g oe I?,f;] ,kà s?fo 4- 5.,

L 4,*t^- ^prì- D = D, , b,

b,.l[s,e)e[P', ge fT,+] &

b.=l(s,o) e R', u.LF,€l {t

I rb oG J"J", = ( 5sze^eu^gy*..rf ) b-l6--

{ th5'= t

L lc=t

d* tuF*tr Co,o) e*- [v-r, t) l.^. *fl .,-p-, ffi = fi à Sa^ firg.T ;

\ .^=trB=) ()-"'a(r,rlr) ? (2or^{s a€..8

L ta=l

e ,nsorr.r.rrcr- hL T L To. IT,€J , tu nsaÀiú^; 3i

frr.,r-^-+ft, 3ia, {ì01 ,úJdl.eo-*4sa/^a,É S, d,^,f&^d."--- fiqrc;1--i*

JL Jli^*1,--a- T , N lezt, bL,{, \ù((rf*5r*{..

P-A,, \L--3u^e,5=5o^g, J^h- J'"tìr^" 'È n:da-4b

,e- r.t*,f <z à gcog ? r -c t53s L

,

^6 s 1't )

5?{ {- ro".1 $'.rà \úi-0zl r- e93sr-9

è ft;t9(?-

"trr9:Ll#sgrzl

, J6(lo)

J i qJgz2)

("-

I:5ry"*6rrrr*1,rySlslr;!, 3' I). '

tTLl-l|L{n ^ ,' *41, . !"Lr*r l" l. ry '*4. p,^u "^o Jg'fÉ o3" J3=+( @9,.')Q!D,"TGîry^'e

{

"1 ? *îJs'

) !^ ^Là tl* "u{= -l l"*J_= - +-i ". ,*.' J )

V^g

à ìrr f; f àFt-o*b)] *eea,u J, = -r \t; (?.,^n -,v/p .+f :'u,*,^*loL 'tr q +Tg,,..'_8,,î -ryJ: [:^''J:lTT

fu&r"--^^ft- * ^0r",0- $,

*#* "f JS/-

Da

(zs/r/ o9)-tr*t'"

G . &Q*0"^" 0' "qF0-

Í%ryJ"J)ul \l {-q*' -51'

J"^" E-l(*,5).Ft' o*5,à. ,t

6rn-n o $t*"- \-- ^--G.n-,-t' LJ* h"p--"," t'r0.r* ; L- *,h

zP'^4* l-<t,? + î.^rlc !.

hrca+ S 5' .1 \-t)

*t& . u* ù-o+o'ra- :

; i^^ l^^^-& \,* 4ft,.- .

oJo-.r b=!u t-t (

' t,-^' l;ll: , q-J [(",") ' ("g T]

4*É Er

"tt^- T(u)=T=

7-(u,u)= I "9' I o

.t.t-d-

Fdú tt'*st's1 =1 JrtL* -t a t , p-,L D -

l(,.,"r).1È'' S.-tr,]11lnov'.,J

? I = "t

$ ?t*,*) J*4= 1 Q (o*, bu) g! J* Ju

îb

u^.0h*

I-

)

tc= f,u- ,, T= tu -i .

tu,+') , ,g(",u).k

-L L Z Lx=9 t,,t:l-V+,J S

-+ l, "'t;.ti"J

o(v 1 u"

(,= { y\r3l

I*(*,v).lP',

J* olt). -!-

z\

J* e.i

t*L+vL

rs(*,u)=li il'*,

** f,'"ff J,.Ju _ìlT-4xF-rF J !ffi'otJndv\*1u\r

q

n:))

î

n'*5'*f , os1.*1

&$eùe--o y^++( %3@/".1,5t ,T ìfF-qt

Ja' T = 1c",5)e(È''

Frt"^I o- .d.L--b tl"^ t & D = 0e [0,5],o{S{( !l{*,tl nlP"'

0{tî)

\^"

1

t

Le ,rir€Àú^- úER\

-

J r/t-lú-\LT\,J"4: tJs a

I(' g

: /71'

à É, 5'trffi 5olle =

oo

o.re^tÈ:JS: É

. \ìI;+ =-fr-Ttorot"f *t ne

ú'11, ì (ilwhl;^r^) $/s/{L)

f lS- S -'l*4fe=-+J".t)T

LtT = I

(*.t).lR', r?0, br.o, k>ez*s'f tr+t \t1** lÉ,**. *^hhr-*,"-r [r,o^-o--o &e:u- * 3., , €ù\L

{-#\É

1-.l î.(-,r) = [t,., ,u) , Tg [,.,,,)< 6 , fì"1

J' ht'+sf . &4 4 & tt " ?, ,, -è ra+v.42,)

J,Lr*r^*

)t:jr,L & X= ZV

D sbca,rl,-é .i*

\r.o,5)E=D u-;.o,yèo

a^^ T= lt*,5'luP",

ntf, , \zo, *-,!rl)