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10 questions from this quiz
Find the points of intersection
Solve 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
If f(x)≥g(x)f(x) \geq g(x)f(x)≥g(x) over the interval
Split the integral at crossing points
x=−1x = -1x=−1 and x=2x = 2x=2
(x−2)(x+1)=0(x - 2)(x + 1) = 0(x−2)(x+1)=0
x+2x + 2x+2 is larger than x2x^2x2
92\frac{9}{2}29 or 4.54.54.5 square units
x22+2x−x33+C\frac{x^2}{2} + 2x - \frac{x^3}{3} + C2x2+2x−3x3+C
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