Thinkwell | Exercise 3.28.pdf - Thinkwell | Exercise...

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10/27/19, 9:35 PM Thinkwell | Exerciseback4 of 5 next What is the area between the curves f(x) = 2-xandg(x) =x2 between x=-2 andx= 1?
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Unformatted text preview:know which curve is on top and which curve is on bottom. Then set up the integral. A = 1 ∫- 2[f ( x )-g ( x )]dx = 1 ∫-2 [ (2- x )-( x 2 )]dx= 1 ∫-2 [ 2-x-x 2 ] dx= [ 2 x-- ] 1-2=[ 1 ]- [- ] = 4x2 2 x 3 3 1 6 103 1 2