Calculus 2 intergral question need help

Question

Water flows from the bottom of a storage tank at a rate of r(t) = 300 − 6t

 liters per minute, where 0 ≤ t ≤ 50. Find the amount of water that flows from the tank during the first 30 minutes

Answer 1

r(t) is rate defined as liters/minute

If you multiply the rate x time for each increment of time, you have the total flow!

Flow = ∫₀³⁰ (300 -6t) dt = { 300t - 3t²}₀³⁰ = 6,300 liters