微积分（1）期末（2005）

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8、SI!(t)dt=-In(l-x),Sex)J:S'(t)dt=J:-In(1-t)dt=(lx)ln(1-x)+xoJ*J:t={I~xIn(1-x)+13x:;e0;...................................6o3X=0.2Ell{HUt.rn;:"{~21n+1=1.=-1;....•.•.•..........•.•.....•................•._.._.•......•.....1bl!(n=d,2,···)f(x)I¥JFourier*~