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VED1
E L-LOVELY-H math16-1 IInd 21-10-11 IIIrd 21-4-12 IVth 20-8-12 Vth 20-8-12 Vth 10-9-12

fJekJh^16 L nB[ebB d/ nkofEe gq:'r

x=b B'N
A = x=a ∫ y dx

yZp/ gk;/ d/ f;o/ D T[Zs/ x dk wkB (x = a) nB[ebB
dh fBwB ;hwk ns/ ;Zi/ gk;/ d/ f;o/ C T[Zs/ x dk wkB (x =
b) nB[ebB dh T[Zu ;hwk wzBh iKdh j?.
fJ;h soQK teo x = f (y), y^neP ns/ o/yktK y = a
ns/ y = b Bkb fxo/ y/so dk y/socb fBwB ;{so Bkb
gsk ehsk iKdk j?^

A = y=a ∫ y=b x dy

fJ; dPk ftZu nB[ebB dhnK ;hwktK fBu/ s'A T[Zgo B{z
bJhnK iKdhnK jB.
jZb ;fjs T[dkjoD

T[dkjoD 1H y = mx, x^neP ns/ e'Nh x = 2 d/ ftZu dk y/socb gsk eo'.
jZb L fdZs/ j'J/ teo dk ;wheoD
y = mx HHHH(1)

;wheoD (1) ftZu y = 0 oZyD s/ x = 0 (∴ x^neP T[Zs/ y = 0)

∴ nGhPN y/socb = 2 ydx = ∫ 0 ∫ 2 mx dx = m ∫ 2 x dx
0 0
x  2  2 m
−
m=   = (4 0) = 2m tor fJekJh. T[Zso
 2 0  2
2
T[dkjoD 2H gotb y = 4x ns/ ;ob o/yk x = 4 d/ ftZu dk y/socb gsk eo'.
jZb L gotb dk ;wheoD
2
y = 4x
o/yk x = 4 gotb s'A A ns/ B T[Zs/ fwbdh j?.
nGhPN y/socb OBAO j?.

T[Zso

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