Let $f(x)=\int \frac{2 x}{\left(x^2+1\right)\left(x^2+3\right)} d x$.If $f(3)=\frac{1}{2}\left({\log }_{e}5-{\log }_{e}6\right)$, then $f(4)$ is equal to [JEE Main 2023, 25 Jan (Shift 1)]

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Let \(f(x)=\int \frac{2 x}{\left(x^2+1\right)\left(x^2+3\right)} d x\).If \(f(3)=\frac{1}{2}\left({\log }_{e}5-{\log }_{…

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