Ap EapcetIndefinite IntegrationAP EAPCET 2025 - 26th May Evening ShiftMCQ+1 / -02025\(\int \frac{1}{1+x+x^2} d x=\)A$\frac{2}{\sqrt{3}} \log \left(\frac{2 x+1+\sqrt{3}}{2 x-1-\sqrt{3}}\right)+C$B$\frac{1}{\sqrt{3}} \log \left(\frac{2 x+1-\sqrt{3}}{2 x+1+\sqrt{3}}\right)+C$C$\frac{2}{\sqrt{3}} \tan ^{-1}\left(\frac{2 x+1}{\sqrt{3}}\right)+C$D$\frac{2}{\sqrt{5}} \tan ^{-1}\left(\frac{2 x+1}{\sqrt{5}}\right)+C$Check AnswerClear SelectionReveal AnswerShow Explanation