indefinite-integration

Question: $\int_{{}}^{{}}{\frac{dx}{1+x+{{x}^{2}}+{{x}^{3}}}=}$

1) $\log \sqrt{1+x}-\frac{1}{2}\log \sqrt{1+{{x}^{2}}}+\frac{1}{2}{{\tan }^{-1}}x+c$

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

3) $\log \sqrt{1+{{x}^{2}}}-\log \sqrt{1+x}+\frac{1}{2}{{\tan }^{-1}}x+c$

4) $\log \sqrt{1+x}+{{\tan }^{-1}}x+\log \sqrt{1+{{x}^{2}}}+c$

Solution:

Explanation: No Explanation

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