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Evaluate: int(-1)^0(dx)/(x^2+2x+2)...

Evaluate: `int_(-1)^0(dx)/(x^2+2x+2)`

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Verified by Experts

`int_(-1)^(0)(dx)/(x^(2)+2x+2)=int_(-1)^(0) (dx)/((x+1)^(2)+1`
`=|tan^(-1)(x+1)|_(-1)^(0)`
`=tan^(-1)1-tan^(-1)0`
`=(pi)/4`
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