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Definite Integration question

2023 · 25 Jan · Shift 2 · Q42

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PYQ Library
JEE Main
Mathematics
Definite Integration
2023 · 25 Jan · Shift 2 · Q42

Definite Integration question

2023 · 25 Jan · Shift 2 · Q42

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

If

\int\limits_{{1 \over 3}}^3 {|{{\log }_e}x|dx = {m \over n}{{\log }_e}\left( {{{{n^2}} \over e}} \right)}

, where m and n are coprime natural numbers, then

{m^2} + {n^2} - 5

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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