Level
2

The non-linear relation $f(a\in \mathbb{R}^+)\rightarrow b$ is a function that takes a value $a$ and returns a value $b$ such that $\int_a^b\dfrac{\ln x}{x}\text{ }dx=0$ What is the minimum value of $a+b\text{?}$ $\text{ }$

$\textbf{Details and Assumptions}$

$f(n)$ is differentiable over its domain.