If ∫₀^π f(sin x) dx = 2 ∫₀^(π/2) f(sin x) dx, then f is:

If ∫₀^π f(sin x) dx = 2 ∫₀^(π/2) f(sin x) dx, then f is:

• A. odd function
• B. even function
• C. any function
• D. periodic function

Answer: C) any function

Explanation: The property ∫₀^π f(sin x) dx = 2 ∫₀^(π/2) f(sin x) dx holds for any function f defined on [0,1], because sin x is symmetric about π/2 in [0,π]. No condition needed on f besides integrability.