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Mathematics, 20.09.2020 17:01 kingoc321

Compute the double integral ∫∫D2xy2dxdy over the region D bounded by xy=1, xy=9, xy2=1, xy2=49 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.

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