A \( \frac{1}{\sqrt{3}}\tan^{-1}\left(\frac{2x-1}{\sqrt{3}}\right)+c \)
B \( \frac{2}{\sqrt{3}}\tan^{-1}\left(\frac{2x-1}{\sqrt{2}}\right)+c \)
C \( \frac{1}{\sqrt{3}}\tan^{-1}\left(\frac{2x-1}{\sqrt{2}}\right)+c \)
D \( \frac{2}{\sqrt{3}}\tan^{-1}\left(\frac{2x-1}{\sqrt{3}}\right)+c \)
E \( \frac{2}{\sqrt{3}}\sin^{-1}\left(\frac{2x-1}{\sqrt{3}}\right)+c \)