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VED1
E L-LOVELY-H math16-1 IInd 6-8-11 IIIrd 21-4-12 IVth 20-8-12 Vth 20-8-12 Vth 10-9-12

noEPk;soh dk rfDs

2
B'N x + 10x – 5x – 50 = 0
iK x(x – 10) – 5(x + 10) = 0
iK (x – 5) (x + 10) = 0

x – 5 = 0 iK x = 5; fJ;h soQK x + 10 = 0 iK x = – 10
i/eo n;hA x = – 10 B{z SZv fdzd/ jK feT[Ai' x < 0, fJ; bJh

××
××
 555 555
×−
=   50 5 2 − 3  
−
−
125 125 1500 375 250
250 − − =
=
2 3 6
875
= = 145.82 T[Zso
6

gqPBktbh 16H2

nkgD/^nkg jZb eo'
∫
1H gsk eo' L x 2 cos x dx.
∫
2H nB[ebB gsk eo' L (8 7 )x dx.+ 7
1
2
3H gsk eo' L 0 ∫ 2 cos x dx.
4H fBwB fbys dk wkB gsk eo' L

(i) 2 ∫ dx (ii) ∫ sin x dx.
a + x 2 sin(x −α )
5H gsk eo' L

(i) 4 ∫ 2 x + (ii) ∫ 4 dx 9x −
3
3x
2
2
∫
(iii) 2 ∫ x − 4 2x + dx (iv) x e dx
3 x
3 x +
6H nB[ebB eo' L
e 3x 3x
(i) (ii)
1 e+ 3x (3x + 1)(x − 3)

(iii) x 3 log x, (iv) sin(ax b+ ).

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