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Integrate the functions1/(x-sqrt(x))...

Integrate the functions`1/(x-sqrt(x))`

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