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Evaluate: int1/(x+sqrt(x^2-x+1))dx...

Evaluate: `int1/(x+sqrt(x^2-x+1))dx`

Text Solution

Verified by Experts

To find
`int1/(x+sqrt(x^2-x+1))dx`
Let
`I=int1/(x+sqrt(x^2-x+1))dx`
Now take
`x+sqrt(x^2-x+1)=u`
`implies sqrt(x^2-x+1)=u-x`
`implies x^2-x+1=(u-x)^2`
...
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