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Question Number 142248 by gsk2684 last updated on 28/May/21

Commented by gsk2684 last updated on 31/May/21

$$\mathrm{let}\mathrm{a}>0\mathrm{and}$$$$\mathrm{D}=\{(\mathrm{x},\mathrm{y})/0\le \mathrm{x}\le 1,0\le \mathrm{y}\le 3\mathrm{x}\}$$$$\mathrm{consider}\mathrm{the}\mathrm{following}\mathrm{integral}$$$$\int \underset{\mathrm{D}}{\int }(3\mathrm{x}+\mathrm{y}){(3\mathrm{x}-\mathrm{y})}^{\mathrm{a}}\mathrm{dxdy}$$$$1)\mathrm{when}\mathrm{we}\mathrm{define}\mathrm{the}\mathrm{transformation}$$$$\mathrm{T}\mathrm{by}\mathrm{u}=3\mathrm{x}-\mathrm{y}\mathrm{and}\mathrm{v}=3\mathrm{x}+\mathrm{y}$$$$\mathrm{Derive}\mathrm{the}\mathrm{domain}\mathrm{K}\mathrm{when}\mathrm{D}$$$$\mathrm{is}\mathrm{transformed}\mathrm{by}\mathrm{T}.$$$$$$

Commented by gsk2684 last updated on 28/May/21

$$\mathrm{solution}\mathrm{please}$$

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