Mathematics · 2022
JEE Main · 29 July 2022, Shift 1 · Q15
If f(α)=∫_1^α (log_10 t)/(1+ t) dt, α>0, then f( e^3)+f( e^-3) is equal to:
If $\displaystyle f(\alpha)=\int_1^\alpha \frac{\log _{10} \mathrm{t}}{1+\mathrm{t}} \mathrm{dt}, \alpha>0$, then $\displaystyle f\left(\mathrm{e}^3\right)+f\left(\mathrm{e}^{-3}\right)$ is equal to :
Official answer
(4)
$\displaystyle \frac{9}{2 \log _{\mathrm{e}}(10)}$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.