jee-main 2021 Q73

jee-main · India · session1_26feb_shift2 Indefinite & Definite Integrals Integral Equation with Symmetry or Substitution

For $x > 0$, if $f ( x ) = \int _ { 1 } ^ { x } \frac { \log _ { e } t } { ( 1 + t ) } d t$, then $f ( e ) + f \left( \frac { 1 } { e } \right)$ is equal to
(1) 0
(2) $\frac { 1 } { 2 }$
(3) - 1
(4) 1

For $x > 0$, if $f ( x ) = \int _ { 1 } ^ { x } \frac { \log _ { e } t } { ( 1 + t ) } d t$, then $f ( e ) + f \left( \frac { 1 } { e } \right)$ is equal to\\
(1) 0\\
(2) $\frac { 1 } { 2 }$\\
(3) - 1\\
(4) 1

Paper Questions

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