Skip to main content
G11 SUPER GIO
123
01
LEARN MISSIONdefinite integrals and the Fundamental Theorem

definite integrals and the Fundamental Theorem

WORKED MODELWORKED SOURCE

Accumulation from a rate

Water enters a tank at r(t)=3t^2+2 liters/minute for 0<=t<=2. Total added water is integral_0^2 r(t)dt = [t^3+2t]_0^2.

  1. Integrate the rate over time.
  2. Evaluate upper minus lower.
  3. Units become liters.

How much water enters?

MODELAccumulation Meter
CALC
PROVEChoose with evidence
CLUE

Pause. Find what matters. Then make your move.