If _ 1/3 ^3| _ex|dx= m n _e ( n^2 e ), where m and n are coprime natural numbers, then m^2+n^2-5 is equal to...

Question

If _ 1/3 ^3| _ex|dx= m n _e ( n^2 e ), where m and n are coprime natural numbers, then m^2+n^2-5 is equal to __________.

Accepted Answer

20

JEE Main 2023 Mathematics question