What is \(\smallint \frac{{dx}}{{x{{\left( {1 + In\;x} \right)}^n}}}\) equal to (n ≠ 1) ?
1
\(\frac{1}{{\left( {n - 1} \right){{\left( {1 + In\;x} \right)}^{n - 1}}}} + c\)
2
\(\frac{{1 - n}}{{{{\left( {1 + In\;x} \right)}^{1 - n}}}} + c\)
3
\(\frac{{n + 1}}{{{{\left( {1 + In\;x} \right)}^{n + 1}}}} + c\)
4
\( - \frac{1}{{\left( {n - 1} \right){{\left( {1 + In\;x} \right)}^{n - 1}}}} + c\)