\[\int_{{}}^{{}}{\frac{dx}{x({{x}^{7}}+1)}}=\] [Karnataka CET 2004]

\[\log \left( \frac{{{x}^{7}}+1}{{{x}^{7}}} \right)+c\]

\[\log \left( \frac{{{x}^{7}}}{{{x}^{7}}+1} \right)+c\]

\[\frac{1}{7}\log \left( \frac{{{x}^{7}}}{{{x}^{7}}+1} \right)+c\]

\[\frac{1}{7}\log \left( \frac{{{x}^{7}}+1}{{{x}^{7}}} \right)+c\]

\[\int_{{}}^{{}}{\frac{dx}{x({{x}^{7}}+1)}}=\] [Karna

1.	\[\int_{{}}^{{}}{\frac{dx}{x({{x}^{7}}+1)}}=\] [Karnataka CET 2004]
A.	\[\log \left( \frac{{{x}^{7}}}{{{x}^{7}}+1} \right)+c\]
B.	\[\frac{1}{7}\log \left( \frac{{{x}^{7}}}{{{x}^{7}}+1} \right)+c\]
C.	\[\log \left( \frac{{{x}^{7}}+1}{{{x}^{7}}} \right)+c\]
D.	\[\frac{1}{7}\log \left( \frac{{{x}^{7}}+1}{{{x}^{7}}} \right)+c\]
Answer» C. \[\log \left( \frac{{{x}^{7}}+1}{{{x}^{7}}} \right)+c\]

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\[\int_{{}}^{{}}{\frac{dx}{x({{x}^{7}}+1)}}=\] [Karnataka CET 2004]

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