Page 193 - DECO403_MATHEMATICS_FOR_ECONOMISTS_PUNJABI

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

fJekJh^12 L nB[ebB L nB[ebB d/ nXkoG{s fB:w

T[Zso B'N

12H4 fe;h nuo ns/ fJZe cbB d/ r[DBcb dk nB[ebB
(Integration of the Multiplication of a Constant and a Function)

i/eo

∵

∵

Gkt fe;h nuo ns/ cbB d/ r[DBcb dk nB[ebB T[; nuo ns/ cbB d/ nB[ebB d/ r[DBcb
d/ pokpo j[zdk j?.

jZb ;fjs T[dkjoD

4
T[dkjo 1H cbB 15x dk x d/ ;kg/y nB[ebB eo'.
∫
∫
4
4
jZb L 15 x dx = 15 x dx
15
5
= x + c = 3x + H T[Zso
5
c
5
∫
T[dkjoD 2H 7 dx dk wkB gsk eo'..
x
∫
∫
. c
jZb L 7 dx = 7 dx = 7log x + T[Zso
x x

LOVELY PROFESSIONAL UNIVERSITY 187