If ∫_(1/3)³ |ln(x)| dx = m/n ln(n²/e), where m and n are coprime… | JEE Main 2023 Mathematics PYQ

NVAMediumJEE Main 2023 · 25 January, Shift 2Definite Integrals

If $\int_{1/3}^{3} |\ln(x)| \, dx = \frac{m}{n} \ln\left(\frac{n^2}{e}\right)$ , where $m$ and $n$ are coprime natural numbers, then $m^2 + n^2 - 5$ is equal to _____.

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