Page 207 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

VED1
E\L-LOVELY-H\math12-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

bdkbZ lekdyu % lekdyu osQ vk/kjHkwr fu;e

12-3 dk osQ lkis{k lekdyu] tgk¡ '( uksV

% " & )$ '(

d
x n + 1 - /
dx

dx n + 1
;k -
dx n + 1

1
n
∴ ∫ x dx - x n + 1 + c . tgk¡ ≠ 2
n +
+
mnkgj.k 1- ∫ dx = ∫ 1 dx - ∫ x dx = 0 x 01 + c = x + c
+
01
+
mnkgj.k 2- ∫ x dx = 5 x 51 + c = x 6 6 + c
51
+
+
10 1
−
mnkgj.k 3- ∫ x − 10 dx = − x 10 1 + c - x − − 9 9 + c = − 1 x − 9 + c
9
+
+
mnkgj.k 4- ∫ x dx = ∫ x 1/ 2 dx - x 1 1/ 2 1 + c = 2 x 3/2 + c
3
2 + 1

+
3
mnkgj.k 5- ∫ x 2/ 3 dx = x 2 2/3 1 + c - x 5/3 + c
5
3 + 1

Lo&ewY;kadu

fjDr LFkkuksa dh iwfrZ djsa @@
+ @
E
µ
---------
1- fdlh iQyu dk vodyu Kkr djus dh izfrykse lafØ;k dks dgrs gSaA
---------
2- ftl iQyu dk lekdyu fd;k tkrk gS mls dgrs gSaA
∫ adx - / %
x
3-

∫ - 2
/ %
4- ......... dx

d n + 1
5- x -
dx