Down the rabbit hole ......
Calculus
Level
5
Let \(f(x)\) be the unique, non-negative real valued function with domain \([1, \infty)\) defined by the equation
\(f(x) = \displaystyle\int_{1}^{x} \dfrac{t}{f(t)} dt\).
Now let \(S = \displaystyle\int_{\sqrt{3}}^{2} f(x) dx\). Compute \(\lfloor 100*S \rfloor\).
by
Brian Charlesworth