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10 questions from this quiz
Find points of intersection
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 interval
Split integral at crossing point(s)
x2=x+2x^2 = x + 2x2=x+2
x=2x = 2x=2 and x=−1x = -1x=−1
x+2x + 2x+2
x22+2x−x33+C\frac{x^2}{2} + 2x - \frac{x^3}{3} + C2x2+2x−3x3+C
92\frac{9}{2}29 square units
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