Let F(x) = f(x) + f(1/x), where f(x) = ∫ l ˣ (log t)/(1 + t)dt, Then F(e) equals

Integral Calculus: JEE Main 2007 Mathematics question

JEE Main 2007 · Annual, Paper 1 · Q3345

JEE Main 2007Annual, Paper 1MathematicsHardIntegral Calculus369× since 2002

Let

F\left( x \right) = f\left( x \right) + f\left( {{1 \over x}} \right),

where

f\left( x \right) = \int\limits_l^x {{{\log t} \over {1 + t}}dt,}

Then

F(e)

equals

JEE Main 2007 · Annual, Paper 1 · Q3345

JEE Main 2007Annual, Paper 1MathematicsHardIntegral Calculus369× since 2002

Let

F\left( x \right) = f\left( x \right) + f\left( {{1 \over x}} \right),

where

f\left( x \right) = \int\limits_l^x {{{\log t} \over {1 + t}}dt,}

Then

F(e)

equals