indefinite-integration

Question: $\int{\frac{{{(x+1)}^{2}}\,\,dx}{x({{x}^{2}}+1)}}$ is equal to

1) ${{\log }_{e}}x+c$

2) ${{\log }_{e}}x+2{{\tan }^{-1}}x+c$

3) ${{\log }_{e}}\frac{1}{{{x}^{2}}+1}+c$

4) ${{\log }_{e}}\{x({{x}^{2}}+1)\}+c$

Solution:

Explanation: No Explanation

Fundamental integration

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