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E L-LOVELY-H math3-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12
fJekJh^3 L fBy/VB
B'N
∴
ns/
fJ; soQK (1) ns/ (2) s'A,
T[Zso
gqPBktbh 3H3
fBwBfbys cbBK dk x d/ ;kg/y fBy/VB^r[DKe gsk eo' L
1 x n
1H 2H
x 1/4 log x
e
x x 2
3H 4H
a + x 2 e + x 2
2
2
e x e x
5H 6H
1 x+ 2 1 e+ x
a
x 3
7H i/eo ()fx = sK f ′ dk wkB gsk eo'.
a − x 2
2
2
x − 4 dy dy
4
0
8H i/eo y= sK x = s/ dk wkB gsk eo'. eh x = T[Zs/ dk wkB fwb
2 x dx dx
;edk j?<
5 2 6 x + 7x+ dy
9H i/eo y= sK gsk eo'.
2 2 3 x + 4x+ dx
a x dy
10H i/eo y= sK gsk eo'.
x n dx
fBwB cbBK dk x d/ ;kg/y fBy/VB^r[DKe gsk eo'L
a + x e + e -x
x
11H (i) (ii)
x
a − x e − e -x
xe − 1 x
x
12H (i) (ii)
x 1 x 2
−
1
13H .
)(
)(
(x+a x+b x+c )
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