Infi2_hw1 - 1 A4 'qn milibxz oeilb - 104281 uxnl - 2 itpi`...

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Unformatted text preview: 1 A4 'qn milibxz oeilb - 104281 uxnl - 2 itpi` :dybd jix`z .mixdva 12 : 00 dry cr -- 2007 29 lcebn xiip lr yibdl yi .qxewd ly mi`zd cg`l ec`n` oiipaa qt` dnewa dybdd :zxekfz z` ,cinlzd my z` xexiaa oiivl `p .micigia dybdd .wcedn yibdl `p .mixqlw e` zeiwy `ll .xry sca jxev oi` .oeilbd xtqn z`e ,f"z xtqn : 1 libxz :mi`ad miniieqn `ld milbhpi`d z` eayg -6x - x2 dx .1 x arcsin(x2 )dx x cos x2 dx 1+(sin x2 )2 dx 2-cos x 7-6x dx x2 (x2 +3x+2) .2 .3 .4 .5 1 + 4x2 dx cos(2+ x) dx x .6 .7 dx log x(x 2) , x>0 .8 sin x cos x dx 2+3 cos x xdx (x2 +1)(x2 +2)(x2 +n) .9 .10 : . 2 libxz .1 In = dx (x2 +a2 )n - l dbiqp zgqep e`vn :`ad beqdn minxeb miriten zilpeivx divwpetl miieqn `l lxbhpi` miaygn xy`k .2 (x2 Ax + B dx, n 1, p2 - 4q < 0 + px + q)n x2 + px + q = (x + p )2 + (q - 2 . .mcew sirq zxfra dfk miieqn `l lxbhpi` aygl ozip cvik e`xd . p2 ) 4 :fnx x dx (2x2 +3x+1)3 :eayg .3 1 : cr) 3 libxz eayg F (x) divwpet `vnl yi . ytegd zebxc xtqny al eniy .dcewp lka f (x) = max{1 - |x|, x2 - 1} F (x) = f (x) divwpetd xear f (x)dx z` miiwzn ik ze`xdle (ixeaig dreaw ick !cg` `ed oexzta : ik egiked .( 4 libxz idz .` p(n) (x) 0 ) zqt`zn dly zi- n -d zxfbpdy jk minrt n dxifb divwpet p(x) :(dnvr divwpetd ef qt` xcqn zxfbpd) n p(x)e dx = k=0 x (-1)k p(n) (x) ex + C (x5 + 3x4 + 1)ex dx :lxbhpi`d z` eayg .a 2 ...
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This note was uploaded on 06/27/2008 for the course MATH Infi 2 taught by Professor Benyamini during the Spring '08 term at Technion.

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Infi2_hw1 - 1 A4 'qn milibxz oeilb - 104281 uxnl - 2 itpi`...

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