infi2HW1 - 1 A4 'qn milibxz oeilb - 104281 lixt`l - 2 itpi`...

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Unformatted text preview: 1 A4 'qn milibxz oeilb - 104281 lixt`l - 2 itpi` .mixdva 12 : 00 dry cr -- 2006 4 :dybd jix`z lcebn xiip lr yibdl yi .qxewd ly mi`zd cg`l ec`n` oiipaa qt` dnewa dybdd :zxekfz z`e cinlzd my z` xexiaa oiivl `p .micigia dybdd .wcedn yibdl `p .mixqlw e` zeiwy `ll .xry sca jxev oi` .f"z xtqn : 1 libxz :mi`ad miniieqn `ld milbhpi`d z` eayg dx .1 x log2 x -6x - x2 dx .2 .3 .4 x arcsin(x2 )dx x tan2 xdx dx .5 2-cos x 12x+5 dx .6 x2 (x2 +2x+5) 1 + 4x2 dx .7 etan x dx .8 cos2 x sin x cos x dx .9 2+3 cos x dx .10 x(x+1)(x+2)(x+n) : 2 libxz .In = dx - l dbiqp zgqep e`vn .1 (x2 +a2 )n :`ad beqdn minxeb miriten zilpeivx divwpetl miieqn `l lxbhpi` miaygn xy`k .2 Ax + B dx, n 1, p2 - 4q < 0 2 + px + q)n (x .mcew sirq zxfra dfk miieqn `l lxbhpi` aygl ozip cvik e`xd p2 p 2 2 .x + px + q = (x + ) + (q - ) :fnx 2 4 . 3x+4 dx :eayg .3 (x2 +1)3 1 : 3 libxz :ze`ad ze`gqepd z` egiked .1 sinm x cosn xdx = - sin sinm x cosn xdx = m-1 x cosn+1 x m+n + + m-1 m+n n-1 m+n sinm-2 x cosn xdx sinm x cosn-2 xdx (`) (a) sinm+1 x cosn-1 x m+n :eayg .2 cos6 xdx sin5 xdx (`) (a) : 4 libxz dreaw ick cr) F (x) divwpet `vnl yi .f (x) = max{1, x2 } divwpetd xear .dcewp lka F (x) = f (x) miiwzn f (x)dx z` eayg ik ze`xdle (ixeaig 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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infi2HW1 - 1 A4 'qn milibxz oeilb - 104281 lixt`l - 2 itpi`...

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