definite-integral

Question: The value of $\int_{3}^{5}{\frac{{{x}^{2}}}{{{x}^{2}}-4}\,dx}$ is



1) $2-{{\log }_{e}}\left( \frac{15}{7} \right)$
2) $2+{{\log }_{e}}\left( \frac{15}{7} \right)$
3) $2+4{{\log }_{e}}3-4{{\log }_{e}}7+4{{\log }_{e}}5$
4) $2-{{\tan }^{-1}}\left( \frac{15}{7} \right)$
Solution: Explanation: No Explanation
Fundamental definite integration Definite integration by substitution

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