MATERIALE SPIEGAZIONI/Integrali Definit… · Created Date: 3/3/2015 12:58:35 AM

22
1il1"5 g fz^"1€ ÙEf r rJ K o 9:* t@,uwo- },**z^o"r Q'0il1 tilJn ,^ [", bl ^ lur'oZi'n ?rn'w, -Ar,- ù'f'^* FS) e Qo'ilTirÙuA 'I,^^ forU] r.1-t- -i,o,o:1r,u^c^ *!t; w'trf,RshiÀ;9 , b W$o Vol$*p,utl'u",uw0 ffn4 r" it* U^'0r:t.e lLuo}s{r,tÀlc H4 ;[ }er^ -) I C.,",.r-U^r-^jt) ÀXa, 'b - ot o'^L^,\'!tfrù fitl,'u""o't" IY '4 àrrJo{f,o-un -t\;}.unt'o.l.l.H [-^,b] *3 r*ho"ueti -y'0^ &,tbh sLl urr")^ouroo^ I A&'b-4 { rlt lt o'1" o/o-+rul.t'\tu v = O\ no Xr - s"* l\L= Xo-tÀ/k Xg, X4+AXe= X'+AX'*A\ = Xo + Z'AX* P*olÀ %^ fir*eJn,..o- f8 L co0Trr'lull r'^ 11f ;+'f"$ t g,nr,. oi#o-u], d(!^'.re f* ,bl , o,W?tr-r ò, ebrv{n:-u\Àa- ,ttr fxrrxoJ o Bn&l . 'l,u, fi^^".aPo**- oÀr^.*,rr.ìsr.ù ,; q,nt{" rut*'n'Q^ wvL WQga $nry" ,ffr4 -'l*& ,Y ,Àtr,l"l,'s0Qotu''I-^l.Jt* HU ,I1q " 1*"^" i 0bÉ" .f,* *r'^ ro**tor^.,o pp;1, , yUeo.*.*{f J

Transcript of MATERIALE SPIEGAZIONI/Integrali Definit… · Created Date: 3/3/2015 12:58:35 AM

Page 1: MATERIALE SPIEGAZIONI/Integrali Definit… · Created Date: 3/3/2015 12:58:35 AM

1il1"5 g fz^"1€ ÙEf r rJ K o

9:* t@,uwo- },**z^o"r Q'0il1 tilJn ,^ [", bl ^

lur'oZi'n

?rn'w, -Ar,- ù'f'^* FS) e Qo'ilTirÙuA 'I,^^ forU] r.1-t-

-i,o,o:1r,u^c^ *!t; w'trf,RshiÀ;9 , b W$o

Vol$*p,utl'u",uw0 ffn4 r" it* U^'0r:t.e lLuo}s{r,tÀlc H4

;[

}er^

-)I C.,",.r-U^r-^jt)

ÀXa, 'b - ot o'^L^,\'!tfrù fitl,'u""o't" IY

'4

àrrJo{f,o-un -t\;}.unt'o.l.l.H [-^,b] *3 r*ho"ueti -y'0^ &,tbh

sLl urr")^ouroo^ I

A&'b-4{

rltlt o'1" o/o-+rul.t'\tu

v = O\no

Xr - s"* l\L= Xo-tÀ/k

Xg, X4+AXe= X'+AX'*A\ = Xo + Z'AX*

P*olÀ %^ fir*eJn,..o- f8 L co0Trr'lull r'^ 11f ;+'f"$ tg,nr,. oi#o-u], d(!^'.re f* ,bl , o,W?tr-r ò, ebrv{n:-u\Àa- ,ttr fxrrxoJ o

Bn&l . 'l,u, fi^^".aPo**- oÀr^.*,rr.ìsr.ù ,; q,nt{" rut*'n'Q^ wvL WQga

$nry" ,ffr4 -'l*&

,Y ,Àtr,l"l,'s0Qotu''I-^l.Jt* HU

,I1q" 1*"^" i 0bÉ" .f,* *r'^ ro**tor^.,o pp;1, , yUeo.*.*{f J

Page 2: MATERIALE SPIEGAZIONI/Integrali Definit… · Created Date: 3/3/2015 12:58:35 AM

É$ffi"k%,){\§.ìP.u)'\É r{i ) yXV ,16 -?Ì

"Yt,at *-l /

*iCIqr.-E*Y ;.\- .« ..f-"-,{ I 7xV ' z H

Tvvrf\J$nYc@ ,.^ryq3at,t,y'W 7 z<t I ?XV -VA

'".,\*,ù{#M

Yxv.TwJ

"p**A y,t

zxV'4exv -'r,w)(,

6" *u -Iiy ìp7 où1r,1f:T T xr) VxV"rH z FxV-YWJ G

(1,rqflr{r

r nra$,tl

ffl *-,

I

\rXV .X +c y. = Y)$

i

Yryy.|r oX ,?XtrXV +oX ,YX.

\o ,o(

;atvzLrfir W?

1Y

\o- g =\V

-e,"r'r,crnOqrl!

7rs.((T)0YoA

tr-'91

-n, lul,r -tlfio1n rrn{

to1jqru'§trr *J", "t prrerrrno<vo ;*»i{.rt

,t^i;t\o?ry,^)s*u,*,1;' :T.T F*"-vxl =aT %?,f*ty ^, o, *T vncf 'ltroo,lo"r1"{b n htwl ry vNvtt1e. 3 Cgd '..s1l ìg,ùrl.T,w,S

[. r' loJ os\7a{ò wrym+ff{y*##,a rlm: r§ *,[

Page 3: MATERIALE SPIEGAZIONI/Integrali Definit… · Created Date: 3/3/2015 12:58:35 AM

F:V

Iy1 É YXY =^'rS.t(,

Y=v_

IH.*XV <= YH ryxv + "* * 7H dXY n 7x'*xv 'vS1f

t 2rord?éft9 rzvzt àa]-ot I vuao"g

t ;r0l ì?Jn r, /rJ1i) 3-L r t',/,r",1{,03

V'>,{

lnt''rV= = wrn{wxy +' - - + ?..nf ,

w

itÉ_

1o 1Ys o ryv i?fla Slvroct

V=r7«

= dxv =Y{r

w

\v + rwr"'xv =\rY0

"g-O"fnmot ,n.f

à .?.t * ÈvO-9 Il ' \S-g ' I'p =75

&.è,,,t+ q}, ,Yr,t^r =zy'È =.{ *l ^rn*n

T =tl ('\ ('o - 7)"rwJ = o.{

[ 7- =^ri *! -or,,,ylò{

c<,tftIa Wry*+r,,ffi.tr.' flD''t-p ÙW'ttog Y%^'/ffite d yma^l/§+a"r@é r"'o,rqrrrd -n1(ffi ct.'rn r@

YY,Y*]"*{, ,"r' ";"''*""T' '% rr g

Amf<dsvrd zzv6o,n

i wdò cff7oioTa:1<n"f

Page 4: MATERIALE SPIEGAZIONI/Integrali Definit… · Created Date: 3/3/2015 12:58:35 AM

x)rG,#

*q+*)

W (wr#/fs | * L*y g rnryaj46;66@^vw ,""f'os0r)+a c?e%T:rr [r,u] f Mn oyz*.| <,xttt

(:.* *)

G:,'

:Ylo(ril?

.- xld (rl*:ft

;t+tO.^f qs + (- Ttr' eO +(_.^fy'ly o)l I = n'i

"nT? = "rro 'i,'1)

lYWYIvS ('{t

" f't | * Y-3 T-""rwre.^oa7^

_I

ry .ppo dlr1- -f rrt{ t,"'zn f 'y r ro rd' [:'trJWo^\Yr ,T[, a"t,y-o,y"u -On^ra;n,11 d[:rrrj "ffi %fotu1,;1l" r*r wr Woa--o,***$Cfd*r].A

f\)C)+<r-f{ (§+<_l{*S y =**r **re

tol ,* 't,.

'V "ù?,otrdOI

s (rl7 ?s

@ "*,"tp,lrt-^"L* { z>@y*Ip rp a^""T"-trùt ,a,rò ,\o+

f*t . -n, "_S

(^ - *, rS,.rE r yS l, l*Slf-.,..'t- - ^ 'r*t/ -- ^. ^ ,'su , *j, yq{

| : lt* }y"*t ''1(' È \,-*tf'rc*o'rqy'

<)n1rgù€ÒL

Page 5: MATERIALE SPIEGAZIONI/Integrali Definit… · Created Date: 3/3/2015 12:58:35 AM

" qyta?)?a 7v o»-t?)ògdadtQ .o oJr t,uagtlttLvT {V ylp 7?Jvr08?U o,'voArTod f{n j? Ve?/a,fT?q VU1$1U VT7?q\p+ vrt ,rf ?t,1-rlr yf T 0tn-a?)2À 7?q v,Tdvll?q y?l (tlrll vT

,' ìnfò ( ,lr-r.re iry ur,t"+ ) -**'*'++^ ?ùq^fo .,'^--6;oryo{

(

w*'4"ì4d* )qo

W7I0 Wo {ttvt<vrtd .yù rykf W.W ll4.}.b-rysup 'r

,Vf*oy r'ù:ffi,*f ffi.-qd otq-'rwrrt T ry*-lrta'twvo

. wvz-,r*f" fi,rra -Iw*nfu,aTr"ffig ry-'r)*r-;r n*rrt y W ,rqflo'rV orro§jo.f r,/,/b.-r?.o"^/b ,rfr ,y rc.ì.yoli.Ifff 41;5otJ\rwd .%

trl'byò -a1uo'*rif ,5

G

'Ì r'z?dvz-\ "rn .-P ^t?DV

-- 6drr P

( *t r,à."r:\-^;n--4,

Page 6: MATERIALE SPIEGAZIONI/Integrali Definit… · Created Date: 3/3/2015 12:58:35 AM

Q.u.iltbo o/"1- qrL4o-

D I:7 L *Y1'l ilA {l'LDn, goù19 9Y:

*; ,r.ofli*t** b"" L i

Lt /+LEfi o» , f4R\'t e'oÀART

OtsfLVtLt N-E t

F t erlft.E ?tAilt'

Tlzn?EZatv,

9*rurtvhirtot,r*t llut{)- {rr*z!*u- PUI &pprrrr\r6 q,

^10

t i)Eg.A.i,t{A

gclrif;1oÉ § rL,rr-- ,#*,n. en"';oL*j tl

*r!Àl"u J-t"- $"«ì"r^l- lrVCr:\u( r }.,^/ap-J. l)M Ttz'A ?v z'o t ùE;,

e.,otr6i Étru,,rrQfl" [^ )4

Page 7: MATERIALE SPIEGAZIONI/Integrali Definit… · Created Date: 3/3/2015 12:58:35 AM

' ? r,« ', w.Lczlz- HgN[o ,rr,' f [x) i* fa, tJ

dl'^,' l{x) *^ Ln ,bJ ';t- Y.wagr-o

4 (tl.&) prxb-ot I (

J@L

fire- P[") p^^^.

fi* ^Z-"b,u.t- Q§*nTtil/A -l*1 fo,,6J

0L\jert^-:ot^,rrvr r/nta{L vlt ùL g (u ]&.6»tA tùTEe4/eL€

-L 'tfrJ."N(x)"tx = flrÙ

,---J----_{_==--{-\\-/-- -l- --,_.,- _/^- .*_z-.==--_,2 ---.-

5 9 ,|*j ,cr,*'*L'e- apf-uV,Zn.X: - -"/- \' '-" -.(l--Értx:i

g1,,i,t "t ;

?^*-T ,f (^) à e-o,,hunn i,^ I*,51 I P,r\ taoz*LL«,. e{, \ur516 ?StFnsS

a- flr*.I*** arLtJ,LuLrLk u.u" vrol,*gnt |rronall-uo t"t ,l.r( -1.", lrvQnRt

1"^ì."^i*.. Nn ) o *n^9-\*- qLe

,a f t^l ,r:* Èr"&t ^r erorJrrpJR ,,il-Lt,',^taavu!"!* tr tf/

"!L'-r*, ,»l*rz, c»ùr-t&r,o u.À,\ P,t" e_€ try{ +t{- tÀrg

(e^ri ;at il ?* v'oL'- A'- '.r!-t".-loot) '

rrn§t(.o§H V ,oL^/ LJ

-l {ronr."'+toa ttlW

* e-o* §d,t,r,Qql.-* ,l.yn *L H €-,A,r-r,^1fl*,-r{t"r-^ ào.a{"-ril

) l^

Page 8: MATERIALE SPIEGAZIONI/Integrali Definit… · Created Date: 3/3/2015 12:58:35 AM

ìr"rOlfg1To,crìfi,?Ò n .l

W '"\' A \0r

G,rd =x1o(])J") +).".e 4 [: ',,r-] ? A T^{ ranr -rz,T[o iy]e]v?1

^ É. c nt-1r\o'Y:{ a*w { f U,J,J o^r.*^nr\^rr( o.ry.\

4 y6,6f^"-'ayk%"r i,1y ffià;-1.nnz.rf) **<«ù,

[,,*1 -,-^"^-$ffi

:r.yò 'c.,1 y' ' o < ro - e1 Ò1rr1rwo F" ("o - q)"/ .ry-.nn?6,r A,rN

g'J j

xf Lr

vfl

qJJlxrc)/

,IUilI

eJ

€.-\-

aS

t9o'*7 f/alq4ld .ofl.$,fiLlnrrm f0lÌr."d

x]o(i,dF*(r.tJ9.

fg 'wJ 7 \fr (rl L s gtl*Y,qY \rà'r df*,?Mw

Page 9: MATERIALE SPIEGAZIONI/Integrali Definit… · Created Date: 3/3/2015 12:58:35 AM

(Q)>v:t.Vt\-1o-u^ ,*L {oonu-r.r-,e- s1lJq- fu.An*-

tl) Yt'^*[* ou;"irr^{. Vr.^,*{2,,t_tt\ {.a- f"*rr{or-&r_ p i

oàràÌfrA, ,

k*Y +*^lY"*- j* ouw*,I.r-

,ff;1.^^ voQ"n;, uuf-^;f'*

sro{ eN*.r ,,Y :À;f"fje" ^r4Aror-'Y"Y{': *t§-i*"ffi:[i,,&, ..n{ n,Jrr"{zurk *tl,o irrtu*

rtr,l.d"'"x.o [,r.[qrh **^,.[ 1* L_* ;

n+4,^"r,,:ù-ù+" ,Lf ltl,Ul_"i O," *r. t-r- pr- u{.fq}us{,_ "iè;""

.e »"* {}"À -.nt.rhi,ocpr-*à,t. ) /t>z %- j)"**U",,r*- C uo* à'É[.rr,)/i{ {csfiivh,( ò"rr' -1 ,, il ,\ . -,.ì^ -\

ffi\y

J_i*ix, ro,[erw,§i- T

a,{reg{§;

Qro,rfo looL*uo- eLta» e.LrL oxn[+ a* lri,,{\ l,{o?l *,t"t i[ aohf"*q.,rO, ,r,Vur"ult pl Eo4.1 r

,rrt n,ip**,\,^ e{r o*'f^no* Grr" lrB ofu^,,

d!{**\ I f,te t [ -" ,qru,5y60u,,r,lr( or,i.'o?ra-

?{otP 5{"t"t"("e^u,i,/u.r rito,{A{o +-L oo,'u,'ofu.r64[s,0" eLuifrqr.i.,§+"

Fo, IJ, g{,u*§. otu-Q- -

or% A,

i{@),

l,l

ftps

Page 10: MATERIALE SPIEGAZIONI/Integrali Definit… · Created Date: 3/3/2015 12:58:35 AM

[?u)nLx

= t*-ze.tu

5j tttti

zs a fr"th)

,rog,J

r-Lc r lc\ ?[r)stx . I t(t)&x-)d ){-5 '4

l,L.

:

x

II

ot

ngl"x

l,rL).X=(

I

Xoi

Xxj

)

7ft<JL,

T,A

,tL

J,

E,

)

ù

u,eJzk

5ru)

4

|,0

f t^)

5

1irz

'At^tlr

lt

z.

'rt

-É.

'[n**it,(r) r'j ';otl.- -t]i'9,

p-,.^X*r* O{.rr*f,ptt t )

f^-"*.- 1"^";iì/'nc- ' l''1o'h/c-

Q6, pLi{tno"'r+o dr[b §'ULo- §,, O. _ l\

pneÀ,^r't iry*u.^*a'«r '[o e'h»' ;rpQo'LL

Pp-,,,t{ttLk

Page 11: MATERIALE SPIEGAZIONI/Integrali Definit… · Created Date: 3/3/2015 12:58:35 AM

ln fuNLL.e^Jt iilTE GlZ,qtE

»*$-: aa f-U:j.rx.^ro\ fl-,rr".^ QDNT i ilJA i-tlÌ,' *{sa,tal-\-a

t*h ,ft*n-la^z'"J* * 4,Uort^rl^rr- ZO , tJ it-, rìfe, X .p,-,r.

Éi*nw,"QJ* (r.I*,bl)

N o[.,0?t tì[a j

. a" plrnyt"l*.2.&r*,t-

?«l i ,t!,$l@, W^r* tÙrs gPxuiJfi

yg.,,u*u,hrie,'- &{,l,o- Sr"otrrr*

,Àl"qÉ TO

H r"o"*. oa**d.., nu fl(x) =^1fr-^""LE-",è"g" ^,h*,"kr".{* f f_x) *_''*r-*[o-L_4'r*- . §^- r. X ( u-,^.# *-$,"il *- *)

--" À1 o!,Lxea>

t^,\ggrt*",:t- !-t nft.f,, A bdz, ràa?6, zo tb E

c 9 PAgorJrrilua.È-I rxru) ,

)Jgut+

I(r)I

ì

I

Page 12: MATERIALE SPIEGAZIONI/Integrali Definit… · Created Date: 3/3/2015 12:58:35 AM

@ì" K=r d l^* rG) = JÀpf{)

alt @

pr,*.n';1.-oai .I.+fJt- rtdrh-

hw',* f{tj tinll,tl

Page 13: MATERIALE SPIEGAZIONI/Integrali Definit… · Created Date: 3/3/2015 12:58:35 AM

ua;

wdl \=\ +{'

('t rr) ) 'ìr' lP(, xJ=t*J t

a <-1\.Tr-)r

[:lo1 Vytx 'O-+ yWàWutr olt'v?./}trdÒYt \117 \ ft [V' o7 ? x '','"4

4f* flìt)'w'fZ@fl:"rtr ì& ,WWT ^-qF#C

''o*'; 11ffijf,,&; |fu <,1r r sTffi$; $ ffi"Ji,

:\n{yp

*, *(

lttv;I ,w

(x)J -0+t))

:I ,q:r)rx

Ilìfy' $z*fr q')d = Q),J

,ra{dL oynà c*n'a1rtm*'J '..o,":fnd *lP qf^&" 'T

i ,f.r{t ,,M ,*'"*y)r*rn^r' <t'ù Nù '6 lttflv'\v?q T

o' l", tJ c\rr,^1? uy6uruff

, "[TM

6pt,ha-1sr {'Iz*t * *[

vocv ti.*@;}", / -"»n4 'aT 4

I

"fo3"Z"<wf, .^*, *[wr.»i

,fl 11;)

l'*él'oY'ya<qua ^rrtf'f' *tt"P w;!

\_'r{lJ,'+ _

t tta o^ {qj$ttsOt,rc/ò^f V O

V)41Uc1L

@no@oet

Page 14: MATERIALE SPIEGAZIONI/Integrali Definit… · Created Date: 3/3/2015 12:58:35 AM

Fkrt') -t(x)=f**tI ftt )^Lt

,o\

: I l0ott +

t Jpr" ,.

W et V*br"h-^ \'*q,*{.qr"a.rt^ |r'r;il ,.

x* 11

F(x) = J* XTat

fx

)uSx+h "YI tu)ùl I f (+) pltJr" -)^o ...

Y (x+ 1,,)

ftr:r1 ,tut: e,o,r ,$uo* fu,,{ , la,w{,*"uc o.l{t^"'e*ct

o/,{, 'É{iqruo& rhk""rt- '^,Q,,

+r^ e/^L,,,e- abl(u *uol«r,{i L"- \

1X*t+

J:'irt)d,t =F*,,) ,.] Pk) = h' {P)

cLcr§(q, e- " fr,

** {5e p-*"*. Joo.o&tt Lt, o- .*-En , iL tr-*"L g luuo^ota. on., X

\r.utt tot.

Ar,,,^" F(x+ t'u) - r(, , a".*u, V2C L6)It-> gir-> c L\

o-'w, f. ,. rf (x ) = f>. éE^/t]{6)

8,,r.gl

l^,r* u"rrr'.ry1»UJoA

Page 15: MATERIALE SPIEGAZIONI/Integrali Definit… · Created Date: 3/3/2015 12:58:35 AM

oSSERv(ÀZt",oÙl ,r.,LT'sa'ttt-u,r* g1^' 7'oQ.8aeÉLil-B,4QQav(J (lwaùwuL!

@,*,*\,"d" sbL s"Q.p*Q. É*-ff0") \ -

@-I"r-br^",rJ,^-\-J2iL vUl' sJLp*Q, d"foL^,1rr"0") @\-/

@*,;f-t\f\'6*',^' !',;{'Y,,e /| t, V'Y*f*:",YOt! ('rrri'I,'- Q-o't'"*L' l'n-'l gn*t»'

? (** tù - f U\ e -otoa*,.^.

"(;r-I \*,Pt.A'oL Pq R §

(a-{."n*&^ ; oo.*9

F(x{ t) _F6),e a^dit[- +"-,QsLt-a,o- ;

1.' F**t^,r.rud.-.& :p*;ly*\J,,e^' orr,"(e,.^)('(ì- e/"r

: {j!,c eo ilTttJv/...rl^ fiisf a!!,

?"*Ho** *i,t-f* ftx) o bE QtwBtLE

;,- st rr^ve,{..q- f 'r^)' : ft,l) {, e l*,a{'Wùta l*

. {^, È"r++r** ;Teyrer F(x) = \n(n)ùt-.?,,.r.,.,,.o^,pizrtr iir{aJ@\'

. di l",.,'eorJTirJu,q ;,6 fo. ,t1 § 1",[^, sl7--

rX \

\ C({)ql"t + g e*,,,,,e noL^'LJu\ " o eR,

C 3*"\ ,4*r"-a- *^i \rr,^^

uk sLfer{*r^{rzo- -4., É^[qf"A"J-l"J[" or^+* *{nv,an- enle,ii".crc! ".r,,,L

A,.,-r,-"k ,t-dU*tr* nr--ezr.>>-.lc-r^,1 {né - 1S.&

$""xJo--r" f,_(*)

on l*{.*'4n|q-

Page 16: MATERIALE SPIEGAZIONI/Integrali Definit… · Created Date: 3/3/2015 12:58:35 AM

@

Page 17: MATERIALE SPIEGAZIONI/Integrali Definit… · Created Date: 3/3/2015 12:58:35 AM

u)8

= f")f,?"rflfdY

' A'{^nT'a'o"a -O,^rrnf lr'*

Ìn<r o?tr;l#XJl:;Ili,ilfi' ' ''D

I -ntrùItannp \ornu q0 ,.,,. H'Y7 qfl"l1 " $)i -Y.a4Y'rqÉ

qrywnr I tx)1 N0?)avg-rrraòu?jal I' **'*J 'fl tcé

w1qr@f, \ = qx)r

(rJ -I""^-l ^^0ù',

\olaonor u (^)-Jùt" "-ott

*[ «[ wrafi<tru'rlornmoa y orwro3rlon-ca{

v'ry)o

,r0 S

po-rm?fr -'a**ter,ry v*xt,J ('/E - (r )A 'w (nàr\-ù*ìav

' .o,4,T^*ry*( -ù^.1) 'cryw{ (")f) ^o.tu b

[:' .fl6-as1r3 cqloAutl('Yrrr YYr ffi^'"ry4 \o*rrr f',1* *,5§@-

a +lloh)d-fa +Q)))

'/,m'f n0 offiftxò 70 oVryY}Yrrryo(wx. tt

--1o7."u6"a-t3 ry',r*c,'^,toz,Ort?il

olyn;fury''r .g"&i"I't1''$* T*h'+Y,T

w yYnYaoJ

ormìWC 7r Aita /r{tr[»o) - '*f ò'àL\ ffiaq c(YÒ?vo r !

Page 18: MATERIALE SPIEGAZIONI/Integrali Definit… · Created Date: 3/3/2015 12:58:35 AM

^ |."*,1,-"-r^^-,. X^ = A. Utàz,rr.r*

g(*i =f?,-l oLt+ e-0"

1,

].u^. -tr f(il oL{ - o

Y^'"'ti ?r(^)' g

+ e[*)

dt*

.L

&(t). Ùft)atiJ^.'

t I t' '

9 )rdo*""" x -- L

9 (gl = (t *r) sttJo'"

y*Tili

I P@ott -'

a^falil\A P1.!

+ @(r,

g(a)- e(*) g.v.sl

['r",* ololr*a\^Wor,ut

Page 19: MATERIALE SPIEGAZIONI/Integrali Definit… · Created Date: 3/3/2015 12:58:35 AM

o=? ì"u.Éràq/ ^y.,4, T (.Oa _ t:)€ *r**{fu1e?d[*i "orpflanmo,a y- "

,ì*o1r* ù. =*,"rp

I *.*v;va1:*{ .rr-1. ri*++}"*ìsr i'.rru.% i,,ryò ,*ì*rr

(x;a Y1r^mf' -o-ru ,,.ov ;;:,;ffi=;;ffi^I, (r

xy^(,)J f V.*l**Q)l:ry ala o,td

t r[qsr, t ry**yaffiWryr{ -Cnn/\n, *'tlqo ,o (f

xp (x)l:I,lw l1'onÀflr,t "ur..gcogoo *ò@

,**rd'rFrrulY'noa wrPy 1v (o)a_ (:.)A

"0c<1*Jr, f

ìFrd= ?p(ttJI

-**t*d'^P '*( C)

?-oix'Qrr2ffry0

Page 20: MATERIALE SPIEGAZIONI/Integrali Definit… · Created Date: 3/3/2015 12:58:35 AM

F+=r\, }t-t I- 4=xrr J-,t" {=xrr x

^T

T><

X')o @ F'

,(

G

xT =frq ( .- *b = cx)$

T=(v),t r- f = f*J d

,ll-{o lÉvrp ffc t (r* , A-

o - y = o * ^7 ryrx) - lb *'u-l = vP ><<trÒ'rr" I t

z?ih/XruA{/ 'rt/u* *lt{

T v,(rr\\(.r, (rt -?r ù=ork -;t ^l.Yt'*e -;l

xrg

o=o (

A+ {-*r/

-re^,(48**4(

I" ?,XéJ

1"4 t:Y"r" ? x

T

a

,f-nx,'E

Page 21: MATERIALE SPIEGAZIONI/Integrali Definit… · Created Date: 3/3/2015 12:58:35 AM

o =T ò^,1 T=x -Ìs +10?'l -' XJd I f*r"y:""../g,+1'* "'"r

+=

[; r) t"",

(+ t) 6.[+ ?) I B. =

^[ e r I o(z' =-

I ù O,] z -' \Ìo l-'i1 -u

J

VY-

+to77- -e x?f

t- | = X2',x - I =-, ){-r N = }

xfof,t.J\ x \.IF, J

T =* .J.1 O ;X'*/ -L ?-' ;-'r \ ^*[§-'"'rr']'''rJi'€ .'

"-,

7 :"i, ntrgo,f\ c7ora,Toò =-É.:il -- ) | ".,n "cFo"ll.1q/oq' 'n

7-t = À \Knnf§c"nrVÌ §fao

V$ en,e-{,\ ryr06

TnroJZ^,t,'1, ^*, td

Page 22: MATERIALE SPIEGAZIONI/Integrali Definit… · Created Date: 3/3/2015 12:58:35 AM

(,Jt-)c ?xXfT

o;

xtr ft L@Q- **+,v ,)il G

Yr'x\Yf i (J (v

afyy (r t ,r) t) (,

(hn'z* ? s7'q-4 ) 1>w ''tv'l?

/- e o;narrl@\,"fl wfdf,tro

".-rz2Rco, I