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10 cards from this deck
Integrate the top curve, subtract the bottom curve's integral.
Find points of intersection by solving f(x)=g(x)f(x) = g(x)f(x)=g(x).
Integrate the absolute difference over the interval [a,b][a, b][a,b].
Split the integral at the crossing point(s).
Area = ∫ab(f(x)−g(x))dx\int_{a}^{b} (f(x) - g(x)) dx∫ab(f(x)−g(x))dx.
Area = ∫ab(g(x)−f(x))dx\int_{a}^{b} (g(x) - f(x)) dx∫ab(g(x)−f(x))dx, if g(x)>f(x)g(x) > f(x)g(x)>f(x).
Set equations equal, integrate, and find area: 444 units.
Compute the antiderivative from aaa to bbb, then simplify.
Check units and if the result makes sense in context.
Find intersections, set up integral, compute the area.
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