indefinite-integration

Question: $\int_{{}}^{{}}{\frac{dx}{x({{x}^{5}}+1)}}=$



1) $\frac{1}{5}\log {{x}^{5}}({{x}^{5}}+1)+c$
2) $\frac{1}{5}\log {{x}^{5}}\left( \frac{1+{{x}^{5}}}{{{x}^{5}}} \right)+c$
3) $\frac{1}{5}\log {{x}^{5}}\left( \frac{{{x}^{5}}}{{{x}^{5}}+1} \right)+c$
4) None of these
Solution: Explanation: No Explanation
Integration of rational functions by using partial fractions Evaluation of various forms of integration

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