If int(dx)/(x^(2) + 2x+2) =f(x) +c, then...

If `int(dx)/(x^(2) + 2x+2) =f(x) +c`, then f(x) is equal to

`tan^(-1)(x+1)`

`2tan^(-1)(x+1)`

`-tan^(-1)(x+1)`

`3tan^(-1)(x+1)`

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