设积分区域B:x2+y2≤9,则二重积分∫∫Be-x2-y2dxdy=____.
π(1-e-9). 解析:∫∫B -x2-y2dxdy= ∫02πdθ∫03e-r2rdr=-π•e-r2 ∣03=π(1-e-9) .
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