Y
JlNo S"tqsq .!l
Dare 3 7 l,
.ctePtnrsi . V, dirnaLsu e' J,q rnenqinleorqlLa,n qr.l^r t-rgn 'F &) rqtqh
rnenentota"o.' arqN Fnr.r.. FG) Ih? htn-unonn?c^ d ?qL) - [ e,EJtr
YU + e.r. ,lr.r = rl.l . ,l^ t . fdp =-
-
2. d&u) . q.rlu t.,fq-.tu = arldu = au + c,a. dCurv\ -' ,{'.r + /u z- ffu+d,r)= J"lo * lJrt-
uAJr -- u6*'/-+ |
s- ot(rn U) = ,t*r s-. l4u = tn [u [+ o"/r)
b.A 6- fe'd, . €>'*c-u.Jo
a ,l.ll"n.q
cor,.:) ' -f,,,2 tJ .d.u = -cbs:u tc.= leczu 'Jo
rL, / Csee'u) = Jec u.{0 u-do rt. f sec u"fn u.4u = S*.- u * c.13. d ('coS=r U) . -CoSeC tr"ch iJ. d.o 13. ('cogcC tJ.cl-,q U .du . - CrcBec UJc.
dri/ + c-t] l-{J" *-<ur &n d{C
ls'A(a* lqu): Jul+Ut / t+.1. ,-arc[Au + c-
8' z[ &,ra.u) = C,ct U. drr 8. JcbrU du,- t^n_u tc-
u- d, CciA") ---mecau.Ju u- { cos'ecqu.,t,r = - ctg o +c.
68f6 4zra I zsr .
-t\Ilk=\ = (,t) -Conloh i Y- :- f-aL:--x:
--_-.b&.- X--:J-6f .dr- *- -ua)'laf4r-
,tXl .tX
'a--_
regr qf
: -lf-__*_ -zl3____dr Jg4
(,tt'^' *tl-+\
\t +cILL
* ( /qttV*V.y==-f(:=\x, ( /qttbx \ .l.t = f bx+b)J,* = 4lt+l + hX +s -
x_ t t-t\
_ X' -, 6r,) ao = ,f'.: xll'.2- / \- =-Er D---("*D'---lW_-W-
lAv,*r 4ul" h, a*t"t lll
9i.fu}tl+t -
l"l o.
Ilala\- ,.!
l
I
T: rri.r;; +zxaltf I rq [i=5)r*-=- | L:1;s-] t;il rfrl';;si;[-J\ x- ) Nz
__ _ :f(i;lnolo'lzurp= g_na -r +x= - zxz 1 to teg-_-,+r
1.jLIk
4,
- ry fnqr€F ?al9.
\- $.t""t" &us[it"*; ."n'nu6r. L'h','hk- 1.t*r*1 .t.*c..'-
v
O l ilx l-+ i,rb,thn= U =Br?,x-lrv ' G" - ) *u
- _ A.r = -c- 4x r-J F*'.=,-t' _1 (e-',
"L I d'.r -'ttr =.lxT ) \fl' -'LJ
-=
- r ru-"'.{r -;r'v =-+F"s- l'ral
: -
t \r-tl'_-r ___.o- _ tCz 't/-- t 1 z\ ur-'/" rCz t;)
.-=.1 Cl rtll-u_lI
-- +-c{-u-
4
tr a-q+u_
Z'
: I;a- ; -"r;
liS;uulus-. u=FX lL
.{, = s'ttJ*"
5
-de = ars
CI Wrg*.#fyg*t :
tuW,
{s = :g rrir fnd\"-& = Irn 914 ,
s
!r,vwrrurrt|tt$
q. lcos lx il",sj,,4r : f ut /+\\TiSbs[ , U = ttvr]{
lp = q91 ?X .t [+^)clu '? roE]\ .tx
&' qPE?\a'}("
?
= _! U* +c-:r(
= - t cos^s4 -{ c- -
t,
= llJ a' Av1
= 4t Ub +r.tT,I 6in"t\
fli-*c
" {//fi,e4/6wa
g l t; st crE, sx dr = | @.f!y\ =_ I f u. 4.,
so\os[: u=c-ossr ,-@' tt'=Ja'r,
+c-du , - sio 5-ri ,XsDx) e a
Nrr
1 n d,-r
-f-4r)vL ln l.:l to-
5,:bsli U =bt.'9'latu -- o 1 c e. e'^ .lt
40
4s4r.r -=_
e"l ri ,
4,0
;--IIL&a-- -f d(casx)/
-
r CUtx
: = -\. lsr l-l rq ,
4@{
tqqs lt. a. fe*
J 1e*:,te Jor (z,r -r-) ar d. fi;n
5x dx .\D 'l {z-'x a
)ooru unluk- txnuq e* ero x
-'u t'i ". l/ .du { u.dru 'Ju . .l Cu.'/) * tJ .dil
'f . U"tt-'
flllal U,.Jx *' U'fdr =
f 'ln,l * d=:anX
U,rul , U' =!(cll :'" U = ,l'dx**xzt . lnx ---o
il =jA.-f.lnx -
- t {t loh - I I ,"L +c-LZ
= I A* lnX { xz+C
7
.xo-rl-- tJ =le"ax oe\
l-hql = en.l* - J e* zx.ex ,
--a
{hlsd = Ut = exd^ . enAx .l--o rlr . 1- Ax.
= p-xX- - Lan.th- Lex) tC
1} = x] ---+ t] ' " :_N..tl
ex . .l-\. _ l' en t.)rx,
= eol XL - g!( -z-k + zO" + C
ti., Cln x),al . =
m',sql = []' . J,,r --t U --./.1"'-- \= g'o( ln xJ -+ U't .
\l= gio n
\-,/
Y
\-/
'\-i,
\.-'
-- c"s X A^-\J a tin (\nn
= Cs0nx) "t= Css (Jnx ) t
du:- t cos(tr,rlJx
Jtr = C.s a .l z.
\j-
JIe. = I ak-
: I ein (lnx ln x) nlx'l$,
l= X tfi Ctnx) _
Ul" At -'F U= \tF = cor (ln O -+ t/'= I s1
- 6! linttnr).tr
tnxJ - x eot(1"^
!in(Jn^) Ax = | 0* Qnr) - n ar t"O + C
Date
---| Ll : eA,. dx'--.+ t1}^,,-. zxdt.
6- rc{a..lPeBor,) |
q4
a|( lr.^ 4 .l eB
4 I ^oX- d Ll
( '\ =t €i^,r\.4 /
Ut . go^ JX *i U = t/n e.o'
=- I ef\'xn -z'l'l ioa)rCa
=l 2q
4L
_ : l_ onn Xa - L p.{ . \ + ,L e.o\ +(_q0rL
q,
\J,
\,
\-./
ilt3
Bi[" t:a'vtVao PCx) :: A(,") ,]talra, krus At"ac.i /tqh,t, fh$ 4daF] e4.., &sc
3 0l diuraikan rnqdi I crvrd- ftrL"ricn *zq B€aei1^oe. .
1u r\oo
o ' AV"" bd" 'r,
.-il L.to,i""berlqrrsn
d. -u
h."l"b brrt.rinao .
A fuPn1a ri,l + b".tJ,.oo-t,
/€ P*dqrrron lfo.hrt* .ti dqflr A , b, e , "trh ,
S*\ .
q)(X*ae) ,,r (X-qrn
-i.o.= .121 *-
z1\m2_,
'"Ai ry:i *-W4f =-L,{bJ @
t, t ot'Xt4 :
:=ftl_-- -,-' IJ lcrnl 'c^lTJ= .)- | :dx f' an sdrn4 -
J G-il ) Cx-t1
': ln &-1- - lf C*1) t lt e
1" e r)] :=tnsfn(yr)
'z' fioi(.rJo*
c. Awr', h.tot rih ,t"r,
l,t"l r,ll / tr,^1in*
fi.= tt_I-q, lri -)
ii r -[
rrru"1 : Jc.r1 = G-",)(i.i oi) (x'nq*r i ".)ah. X-q, -O.I :4r nl,
dp.r Iz = -qt - :x =d = {],Thl"u riu
k tti"."
rillhlot rill
lzill l-ob, +"-:Q(x.tz )[,rnr),r*b
4Vqr , -L "bor-.-t
,(t
[x t.lpill ,lrn b.-!"'',o..
AL Te]$c,
-A ffic Dx *rLx -n, ) [x=-<f\ Cx' tqrx + q q)
Qonh"h , f x4r Lf Axot zxdx
Jry; 7/F,,rfT$bhirsr * LJ'x'
len1on*o p"*Er"n , A*BETC4tc
=1[ 4"t/ (, 'tt)(x'+r)
t* , I . ' L, aP"o,1yo. Ut rt =o
ahr ifl Ut = -l
: r lrn .BurrJrr'=1i (t"lotririfhntor-
.J [,r" - u.*r J= I /'./Cu'rr\ *&u *cl[u+r) ,bL J (Utr)(u.rr)-- !- I 4U' I 4 J 09: :t 6r''r CU + c A^,
z J (ut) (u- ir)= r l(l.s)u-' *(e r.ru r (a rr) AuLJ (u-ir ) tr-t[
[n1.7,,f , I f tl_ + grt l.l,. J LUrr [U*rr;_t- L IT-Ler UrhJ/..,,Ll Lu*r ua{( J=+Lr*.J-ff t#l
= lf-4r, -Jf uau.,I144 J u.t 4J U'rr ' 1l \r=+t
= O...,{l a=-B=Q ,t") 0*c-D= i ..(z) -Btc=t r\
-
+
2r' I
*L.', B- -7r', ,1. '/"
''4[H Ti/
(x+r)
rl(U'+l).,l f dtsaz*-, '{ Jf,q
---
.{r
d,rr--'
xzll x-r)-rr s)fx.l z * C(x"+Df x"t
Y't ) [X*r)]+,) .+ ( xb+f. icx-- g *'0,-l"+
=t.i Ld e--28r + rB_l gxl :ll:al:_=: I ot\ b-. d,x't B['-Aa,
tl'o (,{ t rctP)4 +.-E tc -t
i
t\,-
h"o
dtlr. PendJrsiot, rnt r*( J.g eora a^tdnlrsi - m.k- kut a rr,t"?,qt hqros
Contoh r
r, ln
;
(-.
\i,
\-,
4r=
='D''..+'U = 4(o)+l = |
+ U .4(z\{t=3
v 13, /,.
(-2"-dr =
S"blr'["&..' U = -X" &t"r Inte'rs
d.r = -2X.clrr X=l -t d=-{o.-)t- & U= -rff= -z
*x- : -l N' =$ X , er)- -- x2-
:: -l- | fz*) t -t ,
ln:l \ 2" z
-./ t'=;1
f"bhluri tl = ln tB"l-at la|eq:",l -= X-e -i U ,ln"p,l,
oea
\--
\,I
,,,,
Date
9- 8;a"ts1 . rcs Et A.x .
'\--,
(qLu'lur'' U' ?a + |
d,X=o -:-, cl=z(o)+l = ,
--{ L}.
o (zr t t)a
--,
I lo'.. e-a,' Ax iI,JO
bl,tur', Q.-z+ / hf., uflcyal
Q,s'--z,l< i X: o ---s U. :
- 4! --,14 /1-i
'," ,fr* cor x 4x = .(in / /X. Cbfr -f,;nOz o *Oz o.//
j
ll
I.- i,
rit
