The value of \[\int_{3}^{5}{\frac{{{x}^{2}}}{{{x}^{2}}-4}\,dx}\] is[Roorkee 1992]

\[2+4{{\log }_{e}}3-4{{\log }_{e}}7+4{{\log }_{e}}5\]

\[2-{{\log }_{e}}\left( \frac{15}{7} \right)\]

\[2+{{\log }_{e}}\left( \frac{15}{7} \right)\]

\[2-{{\tan }^{-1}}\left( \frac{15}{7} \right)\]

The value of \[\int_{3}^{5}{\frac{{{x}^{2}}}{{{x}^{2}}-4}\,dx}\] is[Ro

1.	The value of \[\int_{3}^{5}{\frac{{{x}^{2}}}{{{x}^{2}}-4}\,dx}\] is[Roorkee 1992]
A.	\[2-{{\log }_{e}}\left( \frac{15}{7} \right)\]
B.	\[2+{{\log }_{e}}\left( \frac{15}{7} \right)\]
C.	\[2+4{{\log }_{e}}3-4{{\log }_{e}}7+4{{\log }_{e}}5\]
D.	\[2-{{\tan }^{-1}}\left( \frac{15}{7} \right)\]
Answer» C. \[2+4{{\log }_{e}}3-4{{\log }_{e}}7+4{{\log }_{e}}5\]