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Competitive Stats
Q43Section C (Section C)43 of 60

Integral over a slanted triangle

Let S={(x,y)∈R2:2≤x≤y≤4}S=\{(x,y)\in\mathbb{R}^{2}:2\le x\le y\le 4\}. Then, the value of the integral ∬S14−x dx dy\iint_{S}\frac{1}{4-x}\,dx\,dy is __________.

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