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Definite Integration question

2022 · 29 Jul · Shift 1 · Q35

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PYQ Library
JEE Main
Mathematics
Definite Integration
2022 · 29 Jul · Shift 1 · Q35

Definite Integration question

2022 · 29 Jul · Shift 1 · Q35

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

If

f(\alpha)=\int\limits_{1}^{\alpha} \frac{\log _{10} \mathrm{t}}{1+\mathrm{t}} \mathrm{dt}, \alpha\gt 0

, then

f\left(\mathrm{e}^{3}\right)+f\left(\mathrm{e}^{-3}\right)

is equal to :

A
9
B
$\frac{9}{2}$
C
$\frac{9}{\log _{e}(10)}$
D
$\frac{9}{2 \log _{e}(10)}$

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