JEE Main 202325 Jan, Evening shiftMathematicsMediumIntegral Calculus369× since 2002If ∫133∣logex∣dx=mnloge(n2e)\int\limits_{{1 \over 3}}^3 {|{{\log }_e}x|dx = {m \over n}{{\log }_e}\left( {{{{n^2}} \over e}} \right)}31∫3∣logex∣dx=nmloge(en2), where m and n are coprime natural numbers, then m2+n2−5{m^2} + {n^2} - 5m2+n2−5 is equal to _____________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
