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VED1
E L-LOVELY-H math15-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 Vth 10-9-12
noEPk;soh dk rfDs
B'N
jZb ;fjs T[dkjoD
∞ 1
T[dkjoD 1L dx dk wkB gsk eo'.
∫ 1 x 2
1
jZb L 1 ∫ ∞ x 1 2 dx = lim − 1 x 1 b = lim −+ 1 = 1.
b→∞
b→∞
b
T[Zso
∞ 1
T[dkjoD 2L dx dk wkB gsk eo'.
∫ 0 1 + x 2
jZb L
T[Zso
∞ dx
T[dkjoD 3L dk wkB gsk eo'.
)
∫ 0 (1 + x 22
jZb L gfjbK n;hA I = 0 ∫ b (1+ dx 22 dk wkB gsk eoKr/.
x
)
2
wzB fbU x = tan θ ∴ dx = sec θ dθ
–1
j[D θ dhnK ;hwktK 0, tan b jB.
∴ nGhPN nB[ebB T[Zso
gqPBktbh 15H4
bx{ T[Zsoh gqPB
fBwB nB[ebBK dk wkB gsk eo'^
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