indefinite-integration

Question: $\int_{{}}^{{}}{\frac{5({{x}^{6}}+1)}{{{x}^{2}}+1}dx=}$

1) $5({{x}^{7}}+x){{\tan }^{-1}}x+c$

2) ${{x}^{5}}-\frac{5}{3}{{x}^{3}}+5x+c$

3) $3{{x}^{4}}-5{{x}^{2}}+15x+c$

4) $5{{\tan }^{-1}}({{x}^{2}}+1)+\log ({{x}^{2}}+1)+c$

Solution:

Explanation: No Explanation

Fundamental integration

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