JEE MAIN - Mathematics Hindi (2023 - 25th January Morning Shift - No. 7)

माना $$f(x)=\int \frac{2 x}{\left(x^{2}+1\right)\left(x^{2}+3\right)} d x$$ है । यदि $$f(3)=\frac{1}{2}\left(\log _{e} 5-\log _{e} 6\right)$$ तो $$f(4)$$ बराबर है
$$\log _{e} 19-\log _{e} 20$$
$$\log _{\mathrm{e}} 17-\log _{\mathrm{e}} 18$$
$$\frac{1}{2}\left(\log _{e} 19-\log _{e} 17\right)$$
$$\frac{1}{2}\left(\log _{e} 17-\log _{e} 19\right)$$

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