Page 89 - Math Grade 12 (Advance)
P. 89
PROEUS DARA
y
Y = f(x)
rirwlHhfflt!tht~Hu~fil~ (2) Sb b-a
1 A
tri(ilS Ym X (b- a) = r f(x)dx (3)
a 0 a b X
dj f(x)?. 0 tsl tbU [a, b] tSlH15'!:3.ffH1
0':) c::fl ':) ';) eJ I
Hh2lhnms (3) rir:htOUn9ntstdntib
A n ~ U' ~ ~
tt:Hl5~H1-Q&f:ilruLfiltifflb )' = f(x) HfiJ}m5~tu ti~~nm X= a sb X= b '1
ou '? c:b ..., '=' t:J eJ ~C::P ~
Gtrwlfii:U~~2ltlt~tlts (3) rir:ht~Lfi!{PtSG~tfilrwltnb&E:Hl5'i:flS99b Ym Sb
mrunru b-a '1
n
til ggbrsn &filM tnt! f'r::Hli'i:flStit run ru b- a sb tOUn9nt hltOUngnf'o ntitl ti:Hl5R ru1 ~
1 n ~ u· ...; ~ u· "' ""
ttlltil1J1ltifflh f HfiJffiti~hl ti~~nm X= a stl X= b '1
0 • 0 '\:;, ':) c' '-- ~
flitmfif!it: riru1Slnt'!:3'!:3t3~'!:3tSHSri'!:3S y = -.~x tsltbl5G[Slg [0, 4] '1
u ~u 1 ""
s " " "' r "" o •
Gtt:~m : nt'!:3'!:3ti~'!:3tsHsri'!:3S y = -.~x r1 x = o w4 x = 4 nM6Hi::h ru
W GV t.) 1
1 ~"' 1 2 [ ~] 4
1 1 r ! 1 4
Ym = - - ( f(x)dx = - - Jo .[xdx = 4 J/2dx = 4. 3 i o = 6. 8 = 3 '1
b-a Ja 4-0
0 ' 0
flitmfif!i/ :
n. riMSlnt~1:3tiJ1:3tSH~ri1:3S y = sinx tsi num~H [ o, ~] '1
~. tutlLfiltifflhH~ri'!:3S y = sinx st!G~tfilrwltntlttjrn'i:fls9'9tlr:hnt~1:3tiJ1:3tS y '1
fJtgl!J :
""
':) ~ ~ ~
fi. nt'!:3'!:3m'!:3tSHSri'!:3S y = sinx tsi trn [a, b]
~ lJ 1
lt
2
1 1
Ym = -b ( f(x)dx = - - J~ sinxdx = - ~[ cosxJ = ~ '1
-aJa ~-0 o n: 0 n:
2
I cf ~ I tJ (} QJ "";) ':>
2. MhUfiltiffit!H s ri'!:3S y = sinx stl hlbtsm mn.n tnt! ttl bl5'i:fHHr9tltil6i n51:Hi11:HS y
1 1 GV U
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