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VED1
E L-LOVELY-H math14-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 10-9-12
fJekJh^14 L :'r (i'V) d/ o{g ftZu nB[ebB
∫
2
T[dkjoD 3H x log x dx dk wkB gsk eo'. B'N
jZb L
T[Zso
∫
n
T[dkjoD 4H x log x dk nB[ebB eo'.
∫
n
jZb L x n log x dx = ∫ log x x dx
[log x, fi;dk nB[ebB gsk BjhA j? fJ; bJh fJ;B{z gfjbk cbB wzB fbU.]
∫
2
T[dkjoD 5H x cos x dx dk wkB gsk eo'.
2
jZb L wzB fbU x gfjbk cbB j?.
∫
.
x
∴ x 2 .cos x dx = x 2 .sin x − ∫ 2 sin x dx.
d{i/ nB[ebB ftZu x B{z gfjbk cbB wzB fbU fco yzvK d[nkok nB[ebB eo'.
∴
T[Zso
∫
x
T[dkjoD 6H e sin x dx dk wkB gsk eo'.
x
jZb L wzB fbU e gfjbk cbB j?.
∴
LOVELY PROFESSIONAL UNIVERSITY 215
