Page 86 - Math Grade 12 (Advance)

PROEUS DARA

J J
[ 5 2
3
= 1t ~- 3} + 9x I -1t ~ + -i + x 1 - - 35!1t
[ 3 -2 5 3 -2 15
tlmsg v = 351 1t brHi1'tfl2 '1
u 15

n. ~M Sl'tfl2 ~s n.Hlinu11nftM~ms th8 rud1 miinu-flth\hu~s ~o ttl ru2 M
u n & 1 -.... li 1 .:: s
""
"'
2 "'
tl:flruLFnliff"!-bH~~'i:3S f(x) = 4-x s-b g(x) = 2-x Ln1S-b -1 :s;x:s;2 '1
u
2. c mLFnum-b J<x) = ex s-b z mu~Mhs-b c Lnti8rup:s o, e) '1

~srud1miin~ y'oy ~s~o&'tlruftrul~ nnruufil'U y~
IJ 1 "' li .::
d ' "'
mb x = g(y) HnJ y'oy u~nttln y = c sb y = d
a QIQ eJ o,
utQnmsm rorunm 1n &tj ru'tflS'tfl2 n Mntl:fl ru
n u n
d 2
v = 1t[g(y)] dy '1
J c

y'

sb o:s;y:s;J3 '1

t~'tflS y = J3- x y
2
y = 3 -X
2
X= 3-y

'tfl2ftjruL~~~mSlg ~ 3 X
J./3
./3
f
4
2
z2
v = 1t 0 (3- y ) dy = 1t 0 (9- 6y + y )dy y'
= 1t[9y- 2/ + i]./3 = 1t[9J3- 2.3J3 + 9J3] = 1t[3J3 + 9J3] = 241tJ3
5o ... 5 . 5 5
24
f:jmsg v = 1tJ3 bnff"!'tfl2 '1
u 5
81