Improper fraction over (x + 1)^2: divide, then partial fractions

1. A.
   $x-2\log|x+1|-\frac{1}{x+1}+c$
2. B.
   $x-2\log|x+1|-\frac{2}{x+1}+c$
3. C.
   $x-\log|x+1|-\frac{2}{x+1}+c$
4. D.
   $x-\log|x+1|-\frac{x}{x+1}+c$

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1. A.
   $\frac{x^{2}}{2} - 2x + 3\log(x + 1) + \frac{1}{x + 1} + c$ where c is the constant of integration
2. B.
   $\frac{x^{2}}{2} + 2x - 3\log(x + 1) + \frac{1}{x + 1} + c$ where c is the constant of integration
3. C.
   $\frac{x^{2}}{2} - 2x + 3\log(x + 1) - \frac{1}{x + 1} + c$, where c is the constant of integration
4. D.
   $\frac{x^{2}}{2} - 2x - 3\log(x + 1) - \frac{1}{x + 1} + c$, where c is the constant of integration

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1. A.
   $x - 2\log|x + 1| - \dfrac{2}{x + 1} + c$
2. B.
   $x - 2\log|x + 1| + \dfrac{2}{x + 1} + c$
3. C.
   $x + 2\log|x + 1| + c$
4. D.
   $x - 2\log|x + 1| + c$

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