Page 85 - Math Grade 12 (Advance)

PROEUS DARA

'!:fl~ &stu runti11 nRM firns ri ~a ruil~ m ifm Hlti t\5 tu'&s &~ &tl ru2 ru1 t r:t1 ruunmmti
U n IJ I "'0 U I .: S
}Hjl=l'i1S f(x) = Jx SbHr1J x'ox rl x = 0 tvl x = 1 ~~Q]Hf1J x'ox ~
2
[x2J 1 1
n:[f(x)] dx =
V = f l 2 Jl n:(.{x) dx = 1t: Jl xdx = 1t: "2 = n: iH1ff'l'!:fl~
1 0 0 0 0 2
'!:fl~ ts tu runti1 1 nRrul firns ri ~a ruts t~ ttl ru2 ru1 t r:t1 ruunmmbHSI=l'i1S
u n tJ .: s t
2 ""!... cJ "" ,..,..1 .9'l! cJ <:il
g(x) = x SwHliJ x'ox tl x = 0 t::r1 x = I lpQ)HliJ x'ox 1=1
I 2 II 2 2 II [xs]l
1t:
4
V 2 = n:[g(x)] dx = (x ) dx = 1t:x dx = 1t: 5 = 5
I 0 0 0 0

ti1Rtflf : 'Hl~ &s turunti1l nRMfirns ri ~a ruil~ mifmH"Jtitlitu'ts &~ttl ru2 ru1
II u n tJ 1 --0 i.:t 1 .: s
tr:hti5t2JtfflhfflbH~l=l'iH~ y = f(x) sb y = g(x) trum~H [a, b] ttlru f(x) ::::g(x)

2 2
Rrulfi&etlti5 V = n:f [f(x)] dx-1t:r [g(x)] dx '1
a a

muntint : l=lrulS1'!:fl~tsturunti11nRMfitnsri~Bruil1mifn'i x'ox tst~ttlru
u u n & 1 --0 i.:t .:
<!' 2 "" ...
:Jn_gtr:hti5U11tifflhH~R'i1S f(x) =X + 1 sb g(x) = -x+3 1Jl1Sb o::;;x::;; 1 '1
u
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L fflti mtl H ~ l=l'i1 s g(x) = -x + 3 dltiSlfifflfi i rf / " I
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tl=ltnS'!:fl~ '&s flJOJnti1 J~RMfirns n~~ ru~1 QJHliJ x'ox ts t~i_!1lijltf:1 ru2 n_g t r:t1 ru
cf 2 Q 0 1
LffltifflhH~R'i§S f(x) =X+ 1 sb g(x) = -x+3 ' (O::;;x::;; 1) lirul6Hr:hti5
2 2
V = n:f[f(x)] dx-n:([g(x)] dx
a Ja
l 2 fl 2 2
f
=1t: (-x+3)dx-1t: (x +1)dx
-2 -2
80