Integrate the following expression: ∫₀^(16sin(π/12)) (x³)/(√(256-x²)) dx. Which of the following options correctly represents the integral of the given expression?

A) ∫₀^(16sin(π/12)) (x³)/(√(256-x²)) dx
B) ∫₀^(16sin(π/12)) (x²)/(√(256-x²)) dx
C) ∫₀^(16sin(π/12)) (√(256-x²))/(x³) dx
D) ∫₀^(16sin(π/12)) (x)/(√(256-x²)) dx