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intdx/(sqrtx+x)...

`intdx/(sqrtx+x)`

Text Solution

Verified by Experts

`I=intdx/(sqrtx+x)=intdx/(sqrtx(1+sqrtx))`
Let `1+sqrtx=t`
`rArr1/(2sqrtx)dx=dt`
=`2intdt/t=2Inabst+c`
=`2Inabs(1+sqrtx)+c`
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