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          E L-LOVELY-H math16-1     IInd  21-10-11     IIIrd  21-4-12     IVth  20-8-12     Vth  20-8-12     Vth  10-9-12






          Dilfraz Singh, Lovely Professional University                      fJekJh^16 L nB[ebB d/ nkofEe gq:'r

                                fJekJh^16L nB[ebB d/ nkofEe gq:'r                                 B'N

                             (Economic Applications of Integration)


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

                   16H1  ;wsbh teoK d/ nzsors y/socb (Area Under Plane Curves)
                   16H2  noEPk;so ftZu nB[ebB dk T[g:'r (Use of Integration in Economics)

                   16H3  ;koKP (Summary)
                   16H4  Ppde'P (Keywords)
                   16H5  nfGnk; gqPB (Review Questions)

                   16H6  ;zdoG g[;seK (Further Readings)

                T[d/P (Objectives)
                fJ; fJekJh d/ nfXn?B s'A pknd ftfdnkoEh :'r j'Dr/L

                    •   ;wsbh teoK d/ nzsors y/socb eZYD ftZu.
                    •   noEPk;so ftZu nB[ebB d/ T[g:'r B{z ikDB ;zpzXh.

                gq;sktBk (Introduction)
                nZi^eZbQ nB[ebB dk gq:'r noEPk;so ftZu s/Ih Bkb tfXnk j?. fBPfus nB[ebB fJZe :'r
                ;hwk j?. noEPk;so ftZu gq:'r B{z n;hA sZEK d[nkok ;gPN eo ;ed/ jB^

                                                                             dc
                                                                              ( )
                   1H  ;hwKs bkrs, n";s bkrs ns/ e[ZbQ bkrs feT[A i' ;hwKs bkrs  =   j[zd/ jB fJ;
                                                                              dq
                                     dc
                                      ( )
                       bJh e[ZbQ bkrs     dq  .dq
                   2H  T[gG'esk pus L T[gG'esk B{z th nB[ebB ftXh d[nkok gsk ehsk ik ;edk j?.

                16H1 ;wsbh teoK d/ nzsors y/socb (Area Under Plane Curves)

                wzB fbU CPQD teo y = f (x) B{z gqdfPs eodk j?, fiZE/ f (x), gqKs [a, b] ftZu x dk e'Jh
                brksko cbB j? ns/ wzB fbU fe fit/A x dk wkB a s'A b sZe tZXdk j? y th tZXdk jh iKdk j?.
                wzB fbU fe CA ns/ DB eqw nB[;ko x = a ns/ x = b T[Zs/ e'NhnK jB.
                     teo T[Zs/ ;fEs e'Jh fpzd{ P (x, y) fbU ns/ wzB fbU fe PM T[;dh e'Nh j?. teo T[Zs/ P d/
                B/V/ fJZe j'o fpzd{ Q(x + dx, y + dy) fbU ns/ wzB fbU fe QN fJ;dh e'Nh j?.

                     QN ns/ MP T[Zs/ eqw nB[;ko PR, QS bzp fyZu' sK




                                           LOVELY PROFESSIONAL UNIVERSITY                                               247
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