Integration to find rate at which a tipper truck unloads soil is represented by the function

Question

The rate at which a tipper truck unloads soil is represented by the function

a) Calculate the volume of soil unloaded between t = 0 and t = 3 (minutes)

Answer 1

y = ∫₀³3/(t² + 3)dt = √3tan^-1(t/√3)₀³ = √3tan^-1(√3) = π√3/3