Matematika 2 - integrali 2013

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  • 7/22/2019 Matematika 2 - integrali 2013

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    c l (J:J [~~~)f : : } : : = e d t - C 1 , X

    drc.Lc. x )d(-e ;) 'z:

    d x

    I c..rc~;xe . x -r +- C2 . ~L- - - - - - - - - - - - - - - - - - - - - - ~~

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    I J \ (C ; : : : l3 =- f+ =- -:3 ) :5

    s lv 1 f - d 6 - d u -- e5 + - = - l J -s i'vl +A f- =cL l' -

    - c.osf:-=()-

    C'6stdt-~JCJSlnt-.::.(}-

    - -~

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    3 '\-,-.., :\-2.t..- .1 .. It- "i.t +C

    ZIl>H. [10) po eMe..(~e$~ rek..t.>~V\+nU for--thvLU ; i=?:TCLUna...f-,- I V \ .In = f ('1 - x ~)"d x h e ItJ-1

    (,l- X ~)'" - = - - u. / Jh ({ - X 2 - ) 1'\-~ t: 2. X d)< ) = J L A- 2. h X ( t ( - X 2 - ) I'\-~x = - d b_t: X (4- X , ) " ' ! . , ' + 2.1 '1 [X'(1-X")"-'J x = x (~-X'J~ - 2 h l i " 1 - X>-I)(A - X ,;"-iJx

    = X(1-X'Jf 2hI~ + 2.h/~1-X~-;JX~ i 1 " ' - 1(1+21'1 r = - X (1-x ? . f ' l +"'2V1 fh ;-1

    / 1 hz: L~ ( ~) -1 Io z: f1d X :::- ;t - (-\) = = - 2-1+2.h "'-I. -1Il-\.:: " : : h l l A . _ , : : . "2..1-1_. Z(h-() V l " , = = _ .. : :: . 2 . V 1 (2..h-'J J (2.V\-Ld 'i' '' 2 .-/

    1+-2.'iA 1+2.(11\-1) +z, (2...h-H)(LYI-1.)('2.y\_3)~-3 O

    d x =- d C Jx = tJ

    2..' (2h ) J !(Zht-i) I j..

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    "'-\X =::.-u.(h-i )XV l-1 .d x -= .d u . ji' I\+-XL~t liX d : X = = U z

    f '-1-\-

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    l.. = - , ( X"'5\V\ X dx ~x " '- = - - u . .. ~~~d)

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    / 1 (Il-X)'-__ I_~Ga....t l -x

    1 A 4- ~-r~((-x)('IrX't) - 1)( 1+XL1= - Ax7. ..+ A .1>)