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G11 SUPER GIO
123
01
LEARN MISSIONarea, volume, average value, and net change

area, volume, average value, and net change

WORKED MODELWORKED SOURCE

Area between curves

On 0<=x<=2, y=2x lies above y=x^2. Area = integral_0^2(2x-x^2)dx.

  1. Top minus bottom.
  2. Find intersections at 0 and 2.
  3. Evaluate x^2-x^3/3.

What is the enclosed area?

MODELTotal-Change Blueprint
CALC
PROVEChoose with evidence
CLUE

Pause. Find what matters. Then make your move.