jee-main 2022 Q74

jee-main · India · session2_29jul_shift1 Indefinite & Definite Integrals Integral Equation with Symmetry or Substitution
If $f ( \alpha ) = \int _ { 1 } ^ { \alpha } \frac { \log _ { 10 } t } { 1 + t } d t , \alpha > 0$, then $f \left( e ^ { 3 } \right) + f \left( e ^ { - 3 } \right)$ is equal to
(1) 9
(2) $\frac { 9 } { 2 }$
If $f ( \alpha ) = \int _ { 1 } ^ { \alpha } \frac { \log _ { 10 } t } { 1 + t } d t , \alpha > 0$, then $f \left( e ^ { 3 } \right) + f \left( e ^ { - 3 } \right)$ is equal to\\
(1) 9\\
(2) $\frac { 9 } { 2 }$