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Evaluate: int1/(sqrt(x)+x)dx...

Evaluate: `int1/(sqrt(x)+x)dx`

Text Solution

Verified by Experts

We have given
`int1/(sqrt(x)+x)dx`
Let `x=t^2`
`dx=2tdt`,
Then,
`I=int(2t)/(t+t^2)dt`
`I=2int(1)/(1+t)dt`
`I=2log|1+t|+c`
...
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