JEE MAIN - Mathematics Hindi (2022 - 29th July Morning Shift - No. 11)
यदि $$f(\alpha)=\int\limits_{1}^{\alpha} \frac{\log _{10} \mathrm{t}}{1+\mathrm{t}} \mathrm{dt}, \alpha>0$$ है, तो $$f\left(\mathrm{e}^{3}\right)+f\left(\mathrm{e}^{-3}\right)$$ बराबर है :
$$9$$
$$\frac{9}{2}$$
$$\frac{9}{\log _{e}(10)}$$
$$\frac{9}{2 \log _{\mathrm{e}}(10)}$$
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