indefinite-integration

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

1) $\frac{1}{\sqrt{7}}{{\tan }^{-1}}\left( \frac{4x+1}{\sqrt{7}} \right)+c$

2) $\frac{1}{2\sqrt{7}}{{\tan }^{-1}}\left( \frac{4x+1}{\sqrt{7}} \right)+c$

3) $\frac{1}{2}{{\tan }^{-1}}\left( \frac{4x+1}{\sqrt{7}} \right)+c$

4) None of these

Solution:

Explanation: No Explanation

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