Unformatted text preview: g ( x ) =x 3 + 7 x 210 x + 5 over the interval 1 ≤ x ≤ 2. In ﬁgure 9.1 we show the two curves together, with the desired area shaded, then f alone with the area under f shaded, and then g alone with the area under g shaded. It is clear from the ﬁgure that the area we want is the area under f minus the area under g , which is to say Z 2 1 f ( x ) dxZ 2 1 g ( x ) dx = Z 2 1 f ( x )g ( x ) dx. 177...
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 Spring '07
 JonathanRogawski
 Math, Calculus, 2 g, g shaded

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