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

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

Text Solution

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Given,`∫1/(x^2+2x+2)dx`
​=`∫1/(1+(x+1)^2)​dx`
=`∫d(x+1)​/(1+(x+1)2)`
​=`tan^(−1)(x+1)+c`
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