If 1 + ∫ |lnx|dx ; x ∈ (1/3,3) = m/n ln(n^2/e) Then value of m^2 + n^2 - 5 is equal to

Question

If 1 + \(\int\limits_{1/3}^3\) |lnx|dx = m/n ln(n²/e) Then value of m² + n² - 5 is equal to

Answer 1

If 1 + \(\int\limits_{1/3}^3\) |lnx|dx = m/n ln(n²/e) Then value of m² + n² - 5 is equal to 20.

m = 4 n = 3

m² + n² - 5 = 4² + 3² - 5 = 20