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VED1
E L-LOVELY-H math13-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12

Dilfraz Singh, Lovely Professional University fJekJh^13 L nB[ebB dhnK ftXhnK

fJekJh^13L nB[ebB dhnK ftXhnK B'N

(Methods of Integration)

ftP/ t;s{ (Contents)
T[d/P (Objectives)
gq;sktBk (Introduction)

13H1 gqfs;EkgB (Substitution)
13H2 gqfs;EkgB d[nkok gqkgs e[ZM Bshi/ (Some Results Gain from Substitution)

13H3 x d/ cbB dk nB[ebB (Integration of x Function)
n
n
13H4 nB[ebe (Integrand)
13H5 nfijh fGzB dk nB[ebB fi;dk nzP (numerator), jo (denominator) dk fBy/VB^
r[DKe j't/ (Integration of the Fraction whose Numerator is Integral Coefficient of
the Denominator)
13H6 gqfs;EkgB d[nkok e[ZM wkBe cbBK d/ nB[ebB (Integration of Some Standard
Function by Substitution)
13H7 ;koKP (Summary)

13H8 Ppde'P (Keywords)
13H9 nfGnk; gqPB (Review Questions)
13H10 ;zdoG g[;seK (Further Readings)

T[d/P (Objectives)

fJ; fJekJh d/ nfXn?B s'A pknd ftfdnkoEh :'r j'Dr/L

• gqfs;EkgB B{z ;wMD ;zpzXh.
• gqfs;EkgB d[nkok gqkgs e[ZM BshfinK B{z ikDB ;zpzXh.
n
• x d/ cbB dk nB[ebB eZYD ;zpzXh.
• nB[ebe s'A ikD{ j'Dr/.

• gqfs;EkgB d[nkok e[ZM wkB cbBK d/ nB[ebB eZYD ftZu.

gq;sktBk (Introduction)

fe;h cbB dk nB[ebB gsk eoB dhnK fBwBfbys d' w[ZY ftXhnK jB^
1H gqfs;EkgB d[nkok nB[ebB (Integration by Substitution)
2H yzv d[nkok nB[ebB (Integration by Parts)

13H1 gqfs;EkgB (Substitution)

fJ; fefonk ftZu fdZs/ j'J/ nB[ebe (Integrand) B{z wkBe ;{soK (Standard formula) ftZu
gfotosB eoe/ nB[ebB ehsk iKdk j?. fJ;d/ bJh nB[ebe dh uo okPh d/ fe;h cbB B{z j'o

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