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I t l lAA tt lDrDr(Al@PNIMAEAMA'6rrl"f^ /^/^.* f.u464,;krmiE, 1 Feb 2ooB
r4abeic- uNA5 / tPMB
A. \Ar,+Wn ULanaq Pertavnaan Kuctdrae, ?er+iActksavna'lY\ kuadraEq In1t)nome*Li) bar'rsan dan Dereto) Lin,t olan Differer|ialo) ?er1avnC^A^qTn( lYtr! S, V ksVonen olc'n l'ogavlt r"tc'^'c Nqiar rua^9 VvgtzuP
B. WaLew gelzundera7 PtLaE' clart Funql+i) lYatnkso> feLttc.tng)) Staa;hkcJ Loctrka (hanYc+ Ur!As )
C. Maten tPt l, ln &qtalo1 Drrnasivr9^q Yek-boYa) 1'rAVSfo(ma91
KantorPusat: GRAHAPRIMAGAMAJf. Diponegoro89 YogyakartaTelp.(02741548U3,520418Ext. 116Faks.(0274)548436,521482
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o ?cnso,^rorsn $s7ri5 l^truSvelaLtu 6, i , t l ' ( , (W,,9,) dunqan gruclrcn r4?ers. qYe LuruS qangConvoh'-Itntukr.rn Pe" gls W m[L
YenyeLesaianL ----tm=-) 5 ,---1
t t *s lL,?urngOtx t Ilu ngo, 9 )
rneLatui
hvtL" Lz, l ) c lengun
l Laac,n lctndctJA^-99=-]t /v| 2,4)
,Y: ,= 49qv^c.rdien
cl eng cn.r
al' ! =d \
J
Pers g,rt 'yprv5 ya^g molaLut ahl'
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?ers.gvs.W mclalui Lit; i l / ' (K, ,9,) olan L d& qrt Lz'enOLW,.TenYuian Pers' qJ( Ub mlf ' (q") daw -L donVanr ix+ 72=tz I?enyeLeSatan
r----\4x+ 9Y =\-:'rnelnLui (
VeL:?. ; berLukaran
5 mQr+ tt2 a-
Lavsan tanda Y
/, ,2
4't)
?e.rs.grt. U9 rneLoiut Ahh LI ' ' 9' ) dornCodc:oh,
Cx, vr)
d.an Cz'6) tAenvuVan?enleletatan
lers- qrs- ytu nn[t . Ls,q)5Yrrar t I
9 _.,_ 4/\2 ' 679 - Gz)x " 22
atau zL7v =2>
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all^!rtsPnfttffitilfi'6./"f^. /^1^* f,uaa*;Li . t u
Unwl* LimiE, gg pa\nq Verlu hrxus *nu *urunctn.irnarL :
),Va 9U) = \f6 , \raVotJtf-t
g'cx)= -#n V /'(") n-'Cun+ult :t Frnxl l
Drnt 4t
L.rrr"tl4-
22V4Izz1zlJsx-t -{?x+t7x -L
zx- 69 x +to
q2V4 -t IA
-7- 2V151
3= -- ro
=9 3Va +vt
akar koelesrcn delc^n
KantorPusat: GRAHAPRIMAGAMAJf. Diponegoro89 YogyakartaTelp.(0274)548443,520418Ext.116Faks.(0274)548436,521482
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:al . r.gPililIETilT'Ar/"""t /^b,^*@
o |f ta *evdaTav qo'Denqan Y'rubal^cLvr"
(*enk-oel^ 1gin (qo +t)@e 1qo + 6)r/^^ (qo + ot)
6Yau 3 6b"Stw --')LotLan ----1cov
-2 waVa Vrtrbalt(ns
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gPNftIIETIIIA=Ad"f^- /t(^r"* @ )uvn'"r t , A treb 'oB
ln tr qraLA, \nu,eqraL lak lenW unu)|1 ?ctngl l-ar ' ?ecnl+
Con+PV suflara!
( . tA rC
ln VeqtraL SubhLust'Lontph ttmavL'.
(nU \ Vsx+a dx/r
' l ^+= + (gx+?) +s3,5
drIJfw
l,+twnVen "'
dx=Lr t !lcx+t8 )
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Ad.'p.1' /ala/- ?rta6a';ta
lnV"grol Suloh+u9-. fursel,ts'uh satL^6wtoh gmarL t
,?cvtgVae rambah Sau
)G/ tr" ,+ro) dx =+ (rn,+ro) '+"Cpnu>{, Ven YQnq tasren :O t?x" (r*r+E) ' , tx/.\ ( Axlzt I - - Av) ( tx '+r?)3
(rr t + rr)+-3(zx' +t+1
sx'+q)-
r .1LIgx '+tt) ctx?r a r7(9X-+u/ *6
-7 24
I 8x)Bl-rL t
tc
dx
(t J zx dx= ( ,^)3tg
@ LAr =; ; (n^*z)- +c
KantorPusat: GRAHAPRIMAGAMAJf. Diponegoro89 YogyakartaTelp.(0274)548443,520418Ext. 116Faks.(0274)548436,521482
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:41.r !
inVeqral Ynqonow*w ' seList"h SotuC,ntoh ttf ictrL I brar nltan
t- .Lt- +a) dx
- ConboW I'
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V. Vua: d'" tort;aln l*urta
. 9(l '- ,,\no$'u/l\l ' Ov-,n$v- . \ \V .N'\o(}'
z,^ f - : 5. r ,8 = g
r - L. z.B = tbe3
KantorPusat: GRAHAPRIMAGAMAJl. Diponegoro89YogyakartaTelp.(0274)548443,520418Ext. 116Faks.(0274)548436,521482
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g?HilTTTTI'6ul?. /^12, - fro6a,;
L=: 7.8 =82+\, r /Lua5 )^nqu^ neqahy' l-lno- -'
lzalo 9v\ ir"i - ?baay" L doeLoe"'
Ll = L't- l ' tI - ! . 6-I = 3vL'2-
- tL '-3
t . 4, t . 6
L = 4i
KantorPusat: GRAHAPRIMAGAMAJl. Diponegoro89 YogyakartaTelp.(0274)548443,520418Ext. 116Faks.(0274)548436,521482
L.= tL>=L-
- rJ-r t
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g?SIIIIIETilAAd"f^- /^b* fe;
LVamTle'.
L uas di a+.as kurva
L = j- .2 ' tBaqtdu" luf ' - ' '| -L, t . I "LLr- 3 ,L, : i .8 ' t t 4-z
.LL"17Kantor Pusat: GRAHAPRIMAGAMAJl. Diponegoro 89 YogyakartaTelp. 10274154843,520418 Ext. 116
(6=- 3
SmarL :
Faks. (0274)548436,52'1482
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gHBffiTEAilA'6r/"f- /a/a^* f424A4.1,
LtLL_
z-3- -L-L
.2.4 ,9+3. z- = 3
f
6. LuaS kurva Yang d* fuWs, fumbux
v =s+
Y'Lx-t
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cru'Ad."".- /tL* Ttaa*;L. * .2. t = t |
@
Y z l
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cltiltlttl'Ar/"f." //a^- fra64fH. Luas diai.*ara &'n kurva
o fmqr.t Jolrr{r6n:, 9'1trL= 6azTrend saaldengan
u^N / t?M8azl Aanp = 1,1,9,16t25,96," '
Supet Smare tkunct Ja'^:aban
!6L3
+ =1ttlo ?'
,"236
KantorPusat: GRAHAPRIMAGAMAJf. Diponegoro89 YogyakartaTelp.(0274)548443,520418Ext. 116Faks.(0274)548436,521482
D
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cru'Ad.7. //^ " fuaAl,tfu+oh,0 Htyunglnh Ltas dqerah gqn? di htai kurva
Y, *- zx dan v = 6x-x1?engeVsaia":
*-zx = 6x -/LztrL-Bx= o -
lod i , L= '# t
P = f-4oc= 64' 1Q)b)={1
= 9!.3
@ ?1rc,-urglnqL Va "' lni kale'-'beraya, YoD"- l -ua ' ^Ye-"(e ngclesatan :
)x 't '* +x'*9
6 a.86.4
= -X+4:o: r 4e) f4)' -g
Y=+7Ldan J:-X+t l
r - 0'16v 6az = g'3; = 16.+tl
KantorPusat: GRAHAPRIMAGAMAJf. Diponegoro89 YogyakartaTelp.(0274)548443,520418Ext.116Faks.(0274)548436,521482
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ePBrnffirruOd."t- //..* fta64+uqg'sbt a
i.(,
L uas dt bauoh .fung1[ twgonomeln
IT=7@
@
Jl . Diponegoro89 YogyakartaTelp.(02741548M3,520418Ext. 116
\-rt 9 '/-5\A
Faks. (0274)548436,521482
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Sr8rnrllnrAd."t" //^^*ffu)Q&.olt0 , 4Lt - l, 'v . t
l= L2 .3.*,rL
h: ,n '9 ' : ' i lnAt '5 'wn L= - l
frlc latd. L dcvtAh rtt = |z .r)= -X+ LL
titrt< ?cg Lt^d Sb. ! -+ x=ow- )lL
| = L.A - L. kurva= i 'n '+ -z = 1-,Kantor Pusat : GRAHA PRIMAGA-MA 4 -Jf . Diponegoro 89 YogyakartaTelp. (02741548U3,520418 Ext. 116Faks. (0274)548436, 521482
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Cffi'ad.f^." /.L-- frfutLAfT 6KvL
It*zqnl ?arsiqlconlbahnga:
() I x cdtx axrL) [ r^t si,. x ax)
t) I r^ ' e* dx)
htegml subtifurrAt^eoh-tr90''
( .t) | X cosx'dx
t) ( ,r, si", 2)t ax( , | r tt ) | +* 'e 'n dx
F'to sc\dto'VoF' 27azO J'n", cost .r,.t.L1L4
Lt
tox .too '-
zr dx
sin t-x @bsz^ O
bs L7 (9
7 t ' t t^z^+ tnsLl - lcaLx+C
KantorPusat: GRAHAPRIMAGAMAJf. Diponegoro89 YogyakartaTelp.(0274)548443,520418Ext.116Faks.(0274)548436,521482
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cru'Ad.f^.- //- *fe@ dx3x
l\ .u3..
4t'_L15Lt5
?(a x+a) '+ (qx+a)9.'
dr =+ qtLt
(t+ o)o& ,I ' *
o rlet ' lx+q dxt \t l t ' , ' f, r r . . r ,o*.., ' ! (x*i lT s, ", . + ? (^*a)7+o '\ 'A.r .L 77r++) '3 -5
1d, ,
ooc
Inr',rG dv=WA^'r@ ' tx' 'F'l . + $'$ *.KantorPusat: GRAHAPRIMAGAMAJf. Diponegoro89YogyakartaTelp.(O274154843,520418Ext. 116Faks. (0274) 548436, 521482
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Coy.Eoh:al ;-\,^r t* dx i + et* +c,K" e* d^t ttox ex
totoe^
TI pr @s x dx)- ^*mtsol : '=t ^dt o e'- 6x
t l \ t t @tx axvt sinx
ex cosx A,x ' e^. sti, x fe* os x dx = c* (s in x + -s x)
et bex o *^lro7!u*f,ti*irlJfi,Jloo"oJl. Diponegoro89 YogyakartaTelp.(0274)548443,520418Ext. 116Faks.(0274)il8436, 521482
= ?- ' ( r* ' - lox +ro ) * c
, gx.it^t- f "^
0()o
in x ctxsU
P=o^d?= e^dxAn= sin rdaL = -coS Xcos x dxJ",
salmr
xe c6sxJz\I
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lm.Ad."..' /tl--. fue.* gnrclft fotu+tov1Ll/.--
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o@-2,A .21- )-a-, lm.,:1'< J.Jq+tca I :)) DereE hn l, rnad ka
A) V, C + A+C = zBv PereL 6eom14tl
A, g, C 4
iq(^rt 5o(u&on 4:-nUn = 6 --t 9-
AC = b'
#
CD^boW'.DtueLohd dcteL
,t .bala 'San ni t4 I
leng"S- =]-c^ --?t - f
a ' | ( r - r )?-?-^
4r
^t a-l
Vonvergen dengav-r lunolah 1 - Ht+unglah
alLqn honvergem, 'it^" lr | < tS'hXt _l
- l-7
o 1aKantor Pusat : GRAHA PRIMAGAMAJl. Diponegoro89 YogyakartaTetp.(02741S4g4/;3,520419Ext. 116Faks. (0274)548436,521482
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aru'6.1?e-15*# ! Par Sotr.rprag:
C.onboh t
O 1iu"@ )'t'
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.e"n gOt3 taLr 'r l 'v
Misal kan )al 'u" . da; Pehnggian t \ MQQr' 9an9 fehapVo6 nrnantul menloyai t'za''tggian t daYl kthnqQi
a't| . . \ , _ ' t ' , -1n bola TluS)lervruta. Ia
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iDm'Artpe.lsa9;f lscral
A - 'TurunanfYnart :
CptnLoh;O ru)
funtult
16) = ax +bcx +ar t ; t ad- be7t\1 =at - '
(ex+a) '
9x+4>f+)
15 -g(zx+ Y)r
7Axa+w/+ 9
+G) 3 { i 'no4t+z3.2.2 - 3.t ' 4
Cxt+ity''{*1=0
a, /-.l
lz4Yt { _- l"al*k 'a'n
KantorPusat: GRAHAPRIMAGAMAJf. Diponegoro89 YogyakartaTelp.(0274)548443,520418Ext. 116Faks.(0274)548436,521482
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:,:-. :- : I r=::: -=:zl::: _t:- l-::- ::::::-r" ' : . \ ' '
o\ j ' - ' ,- ' --
u,oila.l?U*7,r;b. Iurunan
fwiart :
9=langkat z Lugonomct* )
wlil
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^---- t -a.lf lJ-.rf-
C. Nain, Tuyun. 5+at 'ronerO Nark -----+ 7' 'G) )o(, Turctn' ----2 f 'U) f \(x) =o
1u'ttSoo
'12ni"sKaitoner " 'o lax, ' in" f tcx)zo
fu.l1i--,-l. id, t ' 'Lx)=a
rr t^, YLa f ' {x1 to
Actt
dat't
dam
/" Lx)