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16 MULTIPLE INTEGRALS

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Compute the following double integrals:<br />

∫∫<br />

1. (a)<br />

x √ 1 + y + x 2 dA<br />

[1,2] × [0,1]<br />

GROUP WORK 2, SECTION <strong>16</strong>.2<br />

Practice with Double Integrals<br />

(b)<br />

∫∫<br />

x<br />

dx dy<br />

x + y<br />

[0,1] × [1,2]<br />

(c)<br />

∫∫<br />

[0,1] × [1,2]<br />

ye xy dx dy<br />

2. Is the statement ∫∫ [0,1] × [0,1] cos ( 2π ( y 2 + x )) dA= 0 true or false?<br />

884

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