JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

For

x > 0

, if

f(x) = \int\limits_1^x {\frac{{{{\log }_e}t}}{{\left( {1 + t} \right)}}dt}

then

f(e) + f\left( {\frac{1}{e}} \right)\,

is equal to

View answer and explanation

Correct option: C

\frac{1}{2}

Option C (

\frac{1}{2}

) is correct because after evaluating the integrals and using substitution, the expression simplifies to 1/2.

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