\[\int_{{}}^{{}}{\frac{dx}{x({{x}^{5}}+1)}}=\] [UPSEAT 2004]

\[\frac{1}{5}\log {{x}^{5}}({{x}^{5}}+1)+c\]

\[\frac{1}{5}\log {{x}^{5}}\left( \frac{1+{{x}^{5}}}{{{x}^{5}}} \right)+c\]

\[\frac{1}{5}\log {{x}^{5}}\left( \frac{{{x}^{5}}}{{{x}^{5}}+1} \right)+c\]

\[\int_{{}}^{{}}{\frac{dx}{x({{x}^{5}}+1)}}=\] [UPSEA

1.	\[\int_{{}}^{{}}{\frac{dx}{x({{x}^{5}}+1)}}=\] [UPSEAT 2004]
A.	\[\frac{1}{5}\log {{x}^{5}}({{x}^{5}}+1)+c\]
B.	\[\frac{1}{5}\log {{x}^{5}}\left( \frac{1+{{x}^{5}}}{{{x}^{5}}} \right)+c\]
C.	\[\frac{1}{5}\log {{x}^{5}}\left( \frac{{{x}^{5}}}{{{x}^{5}}+1} \right)+c\]
D.	None of these
Answer» E.

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\[\int_{{}}^{{}}{\frac{dx}{x({{x}^{5}}+1)}}=\] [UPSEAT 2004]

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