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10 cards from this deck
Integrate difference of functions over intersection interval
Find intersection points by solving f(x)=g(x)f(x) = g(x)f(x)=g(x)
∫ab∣f(x)−g(x)∣dx\int_a^b |f(x) - g(x)| dx∫ab∣f(x)−g(x)∣dx
When f(x)≥g(x)f(x) \geq g(x)f(x)≥g(x) over entire interval
Split integral at crossing point(s)
Evaluate the definite integral
y=x2y = x^2y=x2 and y=x+2y = x + 2y=x+2
x=−1x = -1x=−1 and x=2x = 2x=2
∫−12((x+2)−x2)dx\int_{-1}^2 ((x+2) - x^2) dx∫−12((x+2)−x2)dx
92\frac{9}{2}29 or 4.54.54.5 square units
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