EDB — 1BW

Exercises

1. [1BW]Let \(f:[a,b]→ℝ\) continuous and such that

   \[ ∫_ a^ b f(x) g(x)\, {\mathbb {d}}x = 0 \]

   for any \(g:[a,b]→ℝ\) continuous: prove that \(f≡ 0\).