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infi2HW3 - 3 A4'qn milibxz oeilb 104281 10.5.2006 2...

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Unformatted text preview: 3 A4 'qn milibxz oeilb - 104281 10.5.2006 - 2 itpi` .mixdva 12 : 00 dry cr -- :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 milxbhpi`d ly zezqpkzd ewcia 1 ex -1 dx .1 x 0 1 dx .2 0 1-cos x 1 dx .3 0 1-x4 arctan x dx .4 x 1 dx .5 1 1+[x]2 x6 dx .6 1 ex 2 e-x dx .7 - : 2 libxz . - e mixhnxtd t"r miqpkzn milxbhpi`d izn e`vn 2 - 2 dx .1 (cos x) log(1+x2 ) .2 x 0 dx dx .3 1 x (log x) : 3 libxz oke In = n 1 f (x)dx :onqp .xcazn 1 f (x)dx ik oezp .[1, ) lr zcxei zipehepen .zqpkzn un = Sn - In :egiked f (x) 0 n .Sn = k=1 f (k) - log n .1 .qpkzn 1 1 + 2 + 1 + + 3 1 n ik e`xd .2 : 4 libxz .limx f (x) = 0 ik egiked .qpkzn 0 f (x)dx ik oezpe deey dcina dtivx f (x) idz .1 .mcew sirq i"r R - a deey dcina dtivx dpi` f (x) = sin(x2 ) ik egiked .2 1 ...
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