Page 79 - Math Grade 12 (Advance)
P. 79

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                                                                              3
                  n.  tHl.flSltd1n9ntsfdntil:1tE:Jru~n.ntt:llti5H'il'i.HilobHS?1'eS y  = x sob
                            &  l.J  i.J •   "'   GV   I;!   l.J    1
                           2      ...
                      y  = x  + 1  ~rum~g [-I,  IJ  '1






               ..  c~u;!tfl  : t  mH~?1-esmtisob1~'i:fls~ o  trnm~g [a,  bJ  '1  &~Ln!tfl~bl.Qt!:tlruf~J


                 tfflob  c  mob  f  HnnfltlMM  tiSl~ru5~ X  = a  sob  X  =  b
                                  i.:t   1    &
                fin.n~t!:tlti5  S = £t(x)dx = [  F(x)J:  = F(b)-F(a)  '1
                 Q1      cf            I   Q1               '\;)   ':)   e)   t  cJ
               ..  mHS?1'iH~ y  = f(x)  thmrumsu  [a,  b]  &Slgi:d1nfmtstdntibtE:iru~n.nt!:tlru
                     I                       <v              &  l.J  i.J.   "'   <SV   S
                 r~Jtfflob  HnJffitl~M ti~t'iru5~  X=  a  sob  X=  b

                fin.n~t!:tlru s = {t<x)dx  tu  f(x)?.O  ~ s = -{t<x)dx  tu  f(x)-5,0  '1
                                 a                            a
                 Q    Q             c'   I   Qt          cJ                       ':I
               .,  m  f  sob  g  thHS?1<esthmrumSlg  [a,  b]  tE:iruf(x)?.g(x)  &Slg&?iOlS&d
                                1             6V                                   &
                 Ln~tptsitit~guntj  mobH~?1<eSmob'elm~~ru5~ X=  a  sob  X=  b

                 fin.n~t!:tlti5 s = r[f(x)-g(x)]dx  '1
                                  a
               " tULffltiff1obH~?1'e~ f  sob  g  '[YM~[11ft1 X  =a  sob  X=  b  &Slg&?10'1St~Ln!tf1ts4

                 m~HUnTimob'el~?i s = l[g(x)-f(x)Jdx  tE:Jrug(x)?.f(x)  '1
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