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

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

Text Solution

Verified by Experts

The correct Answer is:

`2log_(e)|t|-1/2log_(e)|t-1|-3/2log_(e)|t+1|+(3)/((t+1))+C`
[ where `t=(sqrt(x^(2)-x+1)+1)/(x)`]

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