What is \(\smallint \frac{{{\rm{dx}}}}{{{\rm{x}}\left( {{{\rm{x}}^7} + 1} \right)}}\) equal to?

\(\frac{1}{2}{\rm{\;In\;}}\left| {\frac{{{{\rm{x}}^7} - 1}}{{{{\rm{x}}^7} + 1}}} \right| + {\rm{c}}\)

\(\frac{1}{7}{\rm{\;In\;}}\left| {\frac{{{{\rm{x}}^7} + 1}}{{{{\rm{x}}^7}}}} \right| + {\rm{c}}\)

\({\rm{In\;}}\left| {\frac{{{{\rm{x}}^7} - 1}}{{7{\rm{x}}}}} \right| + {\rm{c}}\)

\(\frac{1}{7}{\rm{In\;}}\left| {\frac{{{{\rm{x}}^7}}}{{{{\rm{x}}^7} + 1}}} \right| + {\rm{c}}\)

What is \(\smallint \frac{{{\rm{dx}}}}{{{\rm{x}}\left( {{{\rm{x}}^7} +

1.	What is \(\smallint \frac{{{\rm{dx}}}}{{{\rm{x}}\left( {{{\rm{x}}^7} + 1} \right)}}\) equal to?
A.	\(\frac{1}{2}{\rm{\;In\;}}\left\| {\frac{{{{\rm{x}}^7} - 1}}{{{{\rm{x}}^7} + 1}}} \right\| + {\rm{c}}\)
B.	\(\frac{1}{7}{\rm{\;In\;}}\left\| {\frac{{{{\rm{x}}^7} + 1}}{{{{\rm{x}}^7}}}} \right\| + {\rm{c}}\)
C.	\({\rm{In\;}}\left\| {\frac{{{{\rm{x}}^7} - 1}}{{7{\rm{x}}}}} \right\| + {\rm{c}}\)
D.	\(\frac{1}{7}{\rm{In\;}}\left\| {\frac{{{{\rm{x}}^7}}}{{{{\rm{x}}^7} + 1}}} \right\| + {\rm{c}}\)
Answer» E.