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Question

011-x1+x dx

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Solution

Let I=011-x1+x dx. Then,I=0111+x-1+x-11+x dxI=0111+x-1+x1+x dxI=log 1+x-x+log 1+x01I=log 2-1+log 2-log 1-0+log 1=2 log 2-1

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