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VED1
E L-LOVELY-H math15-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 Vth 10-9-12

fJekJh^15 L fBPfus nB[ebB

fe;h fBPfus nB[ebB (definite integral) dk wkB g{oh soQK ftbZyD (unique) j[zdk j?, feT[A i', B'N

i/eo

B'N; fBPfus nB[ebB d/ wkB s/ nB[ebB nuo dk e'Jh gqGkt BjhA g?Adk.

15H1 nB[ebB dhnK ;hwktK (Limitations of Integration)
;zfynk a B{z, fijVh nB[ebB fuzBQ d/ fBZu/ fbyh iKdh j?, nB[ebB dh fBwB ;hwk (lower limit)
ns/ ;zfynk b B{z, fijVh nB[ebB fuzBQ d/ T[Zgo fbyh iKdh j?, nB[ebB dh T[Zu ;hwk (upper
limit) efjzd/ jB.

15H2 fBPfus nB[ebB gsk eoB dh ftXh
(Method of Finding Definite Integration)
fdZs/ j'J/ cbB dk nB[ebB (Integral) gsk eoe/ T[;B{z tZv/ e'Pm (bracket) ftZu oZy' ns/ e'Pm d/
;Zi/ gk;/ nB[ebB dhnK ;hwktK fby'. j[D nB[ebB ftZu uo okPh d/ ;EkB s/ T[Zu ;hwk oZy e/
gqkgs cb ftZu'A, T[;h nB[ebB ftZu fBwB ;hwk oZy e/ gqkgs cb B{z xNk fdU. jZb eoB s/
nGhPN nB[ebB gsk j' ikJ/rk.

jZb ;fjs T[dkjoD

T[dkjoD 1H dk wkB eZY'.

jZb L wzB fbU log x = t

T[Zso

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