Integrate the following expression: ∫₀^(π/4) sin(3x)sin(4x)dx. Which of the following options represents the correct integral?A) ∫₀^(π/4) sin(7x)dx,B) ∫₀^(π/4) sin(12x)dx,C) ∫₀^(π/4) sin(5x)dx,D) ∫₀^(π/4) sin(9x)dx.