Page 82 - Math Grade 12 (Advance)
P. 82

PROEUS DARA



                      y                                         y








                                                X                                        X



                      y'   lgurfflt11M'Ef:Jmrf                  y'    Y'l:uqffib 'f{:J mrf
                                       2                                         2
                            A  =  n[f(x)]                             V  = n[f(x)] Ax






                        Ql            l       Qlt:::t;         ':10   ~    0       el
                 nb nHl..fHS g  tmfltiffi619niTHi.H15611H 161r:ht:H15'lin&Shlbl.H16'iti")tiS S n  &i:Hli'i:f1SQl61
                 "'                    I     U       n      U     U    U    II
                  I
           r:hmhlmtDbm f(x )     ,  f(x )   ,  f(x )   , ... ,  f(x  )  sbn~ni Ax  t:icrm  '1
                              1
                                     2
                                             3
                        "'                               11     &1      u  ..
                 tits hl rn6161crs~ tti1'i:f1S'i:f1~m ftn rnsb'i:f1~ &s t6gnbti1161 ttl tu'i:f1Stn61r:hm hlnltUb
                  1nu      u   11          Ll               1iJ·    n

                         y             Y = f(x)            y
                                         I





                                                                                  X





                                                                          '            2
                                                                           V  =  n[f(x;)J  Ax
                 t?!QlS'i:f1~ tS hl rtl61  '¥  'i:f1S 6'it~m ftn tliSb d tli'lin'i:f1~ tS hlrtl616'iti") iJb »hl
                             u              ""u            u        u    u
                            2             2                 2
                 V"' n[f(x ) ]  · Ax+ n[f(x )  ] · Ax+ ... + n[f(xn) ] · Ax
                         1             2
                 &{j  n ~ +oo  &SHhlrtl6161ti')iJb»M'iflSflbr:hhl9flb'li1161  ttflttidtli'lin
                                 u    u                    1iJ·    n           u
                  n
                           2
                 I.n[f(xk)] . Ax  ~6'itg"J~ncr~sfio.ns4 v  ~ru&t:irnr:h'i:fl~t~HiJrtln '¥
                 k=l
                            n
                                      2
                 V  =  ~~= L n[f(xk) ] · Ax
                     11
                           k =I

                                             2               2
                              lim  ~ n[f(xk)] ·Ax = nJ"a[f(x)] dx  '1
                            n~+= ..t'...t
                                  k=l
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