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

\(\frac{1}{{\left( {n - 1} \right){{\left( {1 + In\;x} \right)}^{n - 1}}}} + c\)

\(\frac{{1 - n}}{{{{\left( {1 + In\;x} \right)}^{1 - n}}}} + c\)

\(\frac{{n + 1}}{{{{\left( {1 + In\;x} \right)}^{n + 1}}}} + c\)

\( - \frac{1}{{\left( {n - 1} \right){{\left( {1 + In\;x} \right)}^{n - 1}}}} + c\)

What is \(\smallint \frac{{dx}}{{x{{\left( {1 + In\;x} \right)}^n}}}\)

1.	What is \(\smallint \frac{{dx}}{{x{{\left( {1 + In\;x} \right)}^n}}}\) equal to (n ≠ 1) ?
A.	\(\frac{1}{{\left( {n - 1} \right){{\left( {1 + In\;x} \right)}^{n - 1}}}} + c\)
B.	\(\frac{{1 - n}}{{{{\left( {1 + In\;x} \right)}^{1 - n}}}} + c\)
C.	\(\frac{{n + 1}}{{{{\left( {1 + In\;x} \right)}^{n + 1}}}} + c\)
D.	\( - \frac{1}{{\left( {n - 1} \right){{\left( {1 + In\;x} \right)}^{n - 1}}}} + c\)
Answer» E.