16 MULTIPLE INTEGRALS
16 MULTIPLE INTEGRALS
16 MULTIPLE INTEGRALS
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GROUP WORK 3, SECTION <strong>16</strong>.2<br />
The Shape of the Solid<br />
For each of the following integrals, describe the shape of the solid whose volume is given by the integral, then<br />
compute the volume.<br />
1. ∫∫ [0,1] × [0,1]<br />
(3 − 2x − y) dA<br />
2. ∫ 3<br />
−3<br />
∫ 2<br />
−2<br />
√<br />
4 − y 2 dydx<br />
3. ∫ 1 ∫ 3<br />
−1 −2 (1 − |x|) dydx 885
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