\(\smallint \frac{{dx}}{{{{\left( {x + 1} \right)}^2}\left( {{x^2} + 1} \right)}}\) = ?

\(\frac{1}{2}\log \left( {x + 1} \right) - \frac{1}{{2\left( {x + 1} \right)}} + \frac{1}{4}\log \left( {{x^2} + 1} \right)\)

\(\frac{1}{2}\log \left( {x + 1} \right) + \frac{1}{{2\left( {x + 1} \right)}} + \frac{1}{4}\log \left( {{x^2} + 1} \right)\)

\(\frac{1}{2}\log \left( {x + 1} \right) + \frac{1}{{2\left( {x + 1} \right)}} - \frac{1}{4}\log \left( {{x^2} + 1} \right)\)

\(\frac{1}{2}\log \left( {x + 1} \right) - \frac{1}{{2\left( {x + 1} \right)}} - \frac{1}{4}\log \left( {{x^2} + 1} \right)\)

\(\smallint \frac{{dx}}{{{{\left( {x + 1} \right)}^2}\left( {{x^2} + 1

1.	\(\smallint \frac{{dx}}{{{{\left( {x + 1} \right)}^2}\left( {{x^2} + 1} \right)}}\) = ?
A.	\(\frac{1}{2}\log \left( {x + 1} \right) + \frac{1}{{2\left( {x + 1} \right)}} + \frac{1}{4}\log \left( {{x^2} + 1} \right)\)
B.	\(\frac{1}{2}\log \left( {x + 1} \right) + \frac{1}{{2\left( {x + 1} \right)}} - \frac{1}{4}\log \left( {{x^2} + 1} \right)\)
C.	\(\frac{1}{2}\log \left( {x + 1} \right) - \frac{1}{{2\left( {x + 1} \right)}} - \frac{1}{4}\log \left( {{x^2} + 1} \right)\)
D.	\(\frac{1}{2}\log \left( {x + 1} \right) - \frac{1}{{2\left( {x + 1} \right)}} + \frac{1}{4}\log \left( {{x^2} + 1} \right)\)
Answer» D. \(\frac{1}{2}\log \left( {x + 1} \right) - \frac{1}{{2\left( {x + 1} \right)}} + \frac{1}{4}\log \left( {{x^2} + 1} \right)\)