question_answer

\[\int{\frac{dx}{9{{x}^{2}}+6x+5}}\] is equal to ????.

A)  \[\frac{1}{3}{{\tan }^{-1}}\left( \frac{2x+1}{2} \right)+C\]      

B)  \[\frac{1}{6}{{\tan }^{-1}}\left( \frac{3x+1}{2} \right)+C\]

C)  \[2{{\tan }^{-1}}\left( \frac{3x+5}{2} \right)+C\]

D)  \[\frac{1}{4}{{\tan }^{-1}}\left( \frac{2x+1}{2} \right)+C\]

E)  None of these