Page 89 - Math Grade 12 (Advance)
P. 89

PROEUS DARA
                                                             y
                                                                        Y  = f(x)



                  rirwlHhfflt!tht~Hu~fil~  (2)  Sb  b-a
                   1    A

                  tri(ilS  Ym  X  (b- a)  = r f(x)dx   (3)
                                      a                     0     a               b      X
                  dj  f(x)?. 0  tsl tbU  [a,  b]  tSlH15'!:3.ffH1
                    0':)     c::fl   ':)   ';)   eJ   I
            Hh2lhnms  (3)  rir:htOUn9ntstdntib
              A     n            ~   U'    ~  ~
            tt:Hl5~H1-Q&f:ilruLfiltifflb  )'  = f(x)  HfiJ}m5~tu ti~~nm X=  a  sb  X=  b  '1
                  ou                '?     c:b   ...,   '='      t:J   eJ    ~C::P   ~
                  Gtrwlfii:U~~2ltlt~tlts  (3)  rir:ht~Lfi!{PtSG~tfilrwltnb&E:Hl5'i:flS99b  Ym  Sb

            mrunru  b-a  '1
                n


            til ggbrsn &filM tnt! f'r::Hli'i:flStit run ru  b- a  sb tOUn9nt hltOUngnf'o ntitl  ti:Hl5R ru1 ~
                     1                    n              ~   u·  ...;  ~   u·  "'  ""
            ttlltil1J1ltifflh f  HfiJffiti~hl ti~~nm X=  a  stl  X=  b  '1
                   0    •  0         '\:;,   ':)     c'     '--    ~
                  flitmfif!it:  riru1Slnt'!:3'!:3t3~'!:3tSHSri'!:3S  y  = -.~x  tsltbl5G[Slg  [0,  4]  '1
                         u            ~u         1                     ""
                    s       "      "        "'     r   ""                 o   •
                  Gtt:~m :  nt'!:3'!:3ti~'!:3tsHsri'!:3S  y  = -.~x  r1  x  = o  w4  x  = 4  nM6Hi::h ru
                    W        GV   t.)   1
                                         1 ~"'                   1  2 [  ~]  4
                        1                             1  r !                1      4
                  Ym  = - -  (  f(x)dx  = - -  Jo .[xdx = 4 J/2dx = 4. 3 i  o =  6. 8  =  3  '1
                       b-a Ja          4-0
                   0    '  0
                  flitmfif!i/  :
                  n.  riMSlnt~1:3tiJ1:3tSH~ri1:3S y  = sinx  tsi num~H [ o,  ~]  '1

                  ~.  tutlLfiltifflhH~ri'!:3S y  = sinx  st!G~tfilrwltntlttjrn'i:fls9'9tlr:hnt~1:3tiJ1:3tS y  '1

                  fJtgl!J  :
                    ""
                      ':)     ~       ~               ~
                  fi.  nt'!:3'!:3m'!:3tSHSri'!:3S  y  = sinx  tsi trn  [a,  b]
                       ~   lJ     1
                                                                    lt
                                                                    2
                           1                1
                    Ym  = -b  (  f(x)dx  = - - J~ sinxdx = - ~[ cosxJ = ~  '1
                           -aJa           ~-0  o            n:      0   n:
                                          2
                       I             cf        ~    I        tJ   (}     QJ     "";)   ':>
                  2.  MhUfiltiffit!H s ri'!:3S  y  = sinx  stl hlbtsm mn.n tnt! ttl bl5'i:fHHr9tltil6i n51:Hi11:HS  y
                                 1                     1                        GV   U









            84
   84   85   86   87   88   89   90   91   92   93   94