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Definite Integration question

2021 · 26 Feb · Shift 2 · Q32
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  5. /2021 · 26 Feb · Shift 2 · Q32

Definite Integration question

2021 · 26 Feb · Shift 2 · Q32

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1
For x > 0, if f(x)=∫1xlog⁡et(1+t)dtf(x) = \int\limits_1^x {{{{{\log }_e}t} \over {(1 + t)}}dt}f(x)=1∫x​(1+t)loge​t​dt, then f(e)+f(1e)f(e) + f\left( {{1 \over e}} \right)f(e)+f(e1​) is equal to :
  1. A
    12{1 \over 2}21​
  2. B
    −-− 1
  3. C
    0
  4. D
    1
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