Categories > indefinite-integration > Integration of rational functions by using partial fractions > $\int_{{}}^{{}}{\frac{dx}{x[{{(\log x)}^{2}}+4\log x-1]}}=$

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Question: $\int_{{}}^{{}}{\frac{dx}{x[{{(\log x)}^{2}}+4\log x-1]}}=$


1) $\frac{1}{2\sqrt{5}}\log \left[ \frac{\log x+2-\sqrt{5}}{\log x+2+\sqrt{5}} \right]+c$
2) $\frac{1}{\sqrt{5}}\log \left[ \frac{\log x+2-\sqrt{5}}{\log x+2+\sqrt{5}} \right]+c$
3) $\frac{1}{2\sqrt{5}}\log \left[ \frac{\log x+2+\sqrt{5}}{\log x+2-\sqrt{5}} \right]+c$
4) $\frac{1}{\sqrt{5}}\log \left[ \frac{\log x+2+\sqrt{5}}{\log x+2-\sqrt{5}} \right]+c$
Solution: Explanation: No Explanation
Integration of rational functions by using partial fractions Evaluation of various forms of integration

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