Page 197 - 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

∫
2
T[dkjoD 10H tan x dx dk wkB gsk eo'. B'N

∫
2
2
jZb L tan x dx = ∫ (sec x − 1) dx
tan x x c.= −+ T[Zso

 5 +7x 
T[dkjoD 11H  ∫ + e dx dk wkB gsk eo'.
x

 x 
 5 +7 x   7 x 
x
jZb L  ∫ +  e dx =  ∫ 5 ++  e dx
 x   x 
x
5 + 7log= x x + e + c. T[Zso
2
 ax 4 + bx + c 
T[dkjoD 12H  ∫ 4  dx dk wkB gsk eo'.
 x 

jZb L

fiZE/ d nB[ebB ;fEo nzr j?. T[Zso

T[dkjoD 13H ∫ x 2 dx dk wkB gsk eo'.
x 2 +1

jZb L

T[Zso
1
T[dkjoD 14H ∫ 1+ cos x dx dk wkB gsk eo'.

jZb L

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