Page 283 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

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

bdkbZ lekdyu osQ vkfFkZd iz;ksx

125 125 uksV
, '4 2 ' 2 = 125 −
3 3
375 − 125 250
, = = 83.33 mÙkj
3 3

iz'ukoyh 16-2

Lo;a gy dhft,
∫ x 2
1- Kkr dhft, % cos xdx -

∫
7
x
2- lekdyu Kkr dhft, % (8 + 7 ) dx -
1
∫ 2 2
3- Kkr dhft, % 0 cos x dx -

4- fuEufyf[kr dk eku Kkr dhft, %
dx
sin x
! ∫ a + x 2 !! ∫ sin(x −α ) dx -
2
5- Kkr dhft, %
dx
3
! ∫ 4x 2 x + 3 !! ∫ 4x − 9
2
2
3 x
!!! ∫ x + 2 x − 4 2 !" ∫ x edx
3x +
6- lekdyu dhft, %
e 3x 3x
! !!
1 + e 3x (3x + 1) (x − 3)

!!! - !"

0
7- oqQy ykxr iQyu Kkr dhft, ;fn , oqQy mRiknu

! ! 2 $ 0 '- , 4 ij 44 #- oqQy ykxr
100
!! , x = ij 44 #- oqQy ykxr
0
x
!!! ;' 2 4 444 - , 4 ij 10]485 #- oqQy ykxrA
8- Kkr dhft,%

3
! ∫ 1 5 x xdx !! ∫ 1 14 x dx

!!! ∫ 1 3 (1 + 5x + x 3 ) dx !" ∫ 1 3 (e 2x + e x ) dx