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VED1
E L-LOVELY-H math14-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 10-9-12

noEPk;soh dk rfDs

B'N d[pkok yzvK d[nkok nB[ebB Bkb,
∫
−
]
e x sin x dx = e x cos x + [e x sin x − ∫ e x sin x dx
nkyhob/ gd B{z yZp/ gk;/ b? ikU. fco 2 Bkb Gkr d/D s/
1
T[Zso
∫
e x sin x dx = e x (sin x − cos ) x + c.
2
T[dkjoD 7H ∫ x 1 2 log x dx dk wkB gsk eo'.

jZb L

T[Zso

x
2
T[dkjoD 8H cbB x a dk x d/ ;kg/y nB[ebB eo'.
∫
jZb L wzfBnk I = x a dx
2
x
2
x
2
x
fJZE/ nB[bebe d' cbBK x ns/ a r[DBcb j?. fiZE/ x fJZe phie cbb j? ns/ a uoxkszeh
x
2
cbB j? ns/ ILATE ftZu gfjbk A nZyo nkT[Adk j?. fJ; bJh x gfjbk cbB ns/ a B{z d{ik
cbB b? e/ tzfvnk j'fJnk nB[ebB eoBr/.

∴ T[Zso

∫
T[dkjoD 9H log {x + x 2 + a 2 } dx dk wkB gsk eo'.

jZb L

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