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int (2x)/(1+x^(2))...

` int (2x)/(1+x^(2))`

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`int (2x)/(1+x^(2))dx = int (1)/(t) dt" " underset(rArr 2x dx =dt)("Let" 1+x^(2)=t)`
`=log |t| +c= log | 1+x^(2)|+c`
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