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Mathematics, 03.06.2021 06:00 candeegraves8308

Compute the double integral ∫∫D 5xy²dxdy

over the region D bounded by

xy=1, xy=16, xy²=1, xy²=36

in the first quadrant of the xy-plane. Hint: make a change of variables T:R2→R2 that converts a rectangular region D∗ in the uv-plane into the region of integration D=T(D∗) in the xy-plane.

Double integral =

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Compute the double integral ∫∫D 5xy²dxdy

over the region D bounded by

xy=1,...
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