Page 226 - DECO403_MATHEMATICS_FOR_ECONOMISTS_PUNJABI

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

8.

14H2 nzfPe fGzBK d[nkok nB[ebB (Integration by Partial Fractions)

n;hA f;ZX eo u[Ze/ jK fe e[ZM e[ cbBK d/ :'i iK nzso dk nB[ebB T[jBK cbBK d/ nB[ebBK
d/ :'r iK nzso d/ pokpo j[zdk j?. fJ; bJh nB[ebB dh fJZe wjZstg{oD ftXh fdZs/ j'J/
cbBK B{z :'r iK nzsod/ o{g ftZu gfotofss eoe/ (s'V e/) T[go'es f;XKs dk gq:'r eoB dh
j?. fJ;d/ bJh nzfPe fGzBK dhnK ftXhnK dk io{os nB[;ko T[g:'r ehsk iKdk j?.
nzfPe fGzBK ftZu Gzr eoB dhnK ftXhnK B{z nkg nkgDh phirfDs dh g[;sse ftZu gVQ u[Ze/
jK.
phirfDs s'A s[;hA ikDd/ j' fe jo/e pj[gd d/ fJZexks ns/ d'xks r[Dbyzv ehs/ ik ;ed/
jB^j' ;edk j? fe e[ZM r[Dbyzv eJh tko nkT[D. cb;o{g gfow/: fGzB d/ nzfPe fGzB fJ;
soQK d/ j'Dr/^
(i) jo d/ Bk^d[jokT[D:'r (non-repeated) fJZe xks r[Dbyzv x – a d/ ;zrs nzfPe fGzB
A d/ o{g dk j[zdk j?, fiZE/ A ≠ a H
−
xa
(ii) jo/e pkowpko (repeated) r[Dbyzv (x – b) d/ ;zrs r nzfPe fGzB fBwBfbys o{g d/
j[zd/ jB.

220 LOVELY PROFESSIONAL UNIVERSITY