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VED1
E L-LOVELY-H math13-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12

noEPk;soh dk rfDs

B'N

n
n
13H3 x d/ cbB dk nB[ebB (Integration of x Function)
n
n-1
n
i/eo x d/ cbB ftZu x dk r[DBcb fdZsk j[zdk j? sK T[; cbB dk nB[ebB x = t wzB e/
ehsk ik ;edk j?.
n;hA ikDd/ jK fe
, fiZE/

j[D i/eo fJ; ;{so ftZu

∴ oZyhJ/ sK n Bkb Gkr d/D s/

n
eh s[;hA ikDd/ j' i/eo nB[ebe dk o{g j?, sK x = t wkB oZyD Bkb
nB[ebB ;ob j' iKdk j?.

jZb ;fjs T[dkjoD

2
T[dkjoD 1L cbB cos x sin x dk x d/ ;kg/y nB[ebB gsk eo'.
jZb L t

T[Zso

T[dkjoD 2H dk wkB gsk eo'.

3
jZb L wzfBnk 1 – x = t
2
∴ – 3x dx = dt

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