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E L-LOVELY-H math12-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12
noEPk;soh dk rfDs
B'N 12H1 ftnkge nB[ebB (Comprehensive Integrals)
fBy/VB rfDs d[nkok, n;hA ikDd/ jK fe i/eo f (x) dk fBy/VB r[DKe (differential
coefficient) F (x) j?, sK f (x) + c dk fBy/VB r[DKe th F (x) jh j't/rk, fiZE/ c e'Jh ;t?^
fJS[Ze nuo (arbitrary constant) j?.
Gkt i/eo
sK
∴
fJZE/ c fJZe ;t?^fJS[Ze nuo j? fi;d/ n;zfyn wkB j' ;ed/ jB.
fJ; soQK fe;h cbB dk nB[ebB ftbZyD (unique) BjhA j[zdk, feT[Ai' c B{z fGzB^fGzB wkB d/D s/
F (x) d/ eJh nB[ebB (integrals) gqkgs j[zd/ jB, fJ; bJh i/eo f (x), F (x) dk e'Jh nB[ebB
(integrals) j't/, sK f (x) + c T[;dk ftnkge nB[ebB (Comprehensive Integral) j't/rk.
eh s[;hA ikDd/ j' ;t?^fJS[Ze nuo c B{z nB[ebB nuo (Constant of integration) efjzd/ jB.
12H2 wkBe nB[ebB (Standard Integral)
wkB cbBK d/ fBy/VB r[DKe d/ nXko s/ n;hA e[ZM wZy cbBK d/ nB[ebBK B{z gsk eoKr/, fijV/
fBwB jBL
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