Double integrals
where D is the region consisting of the square {(x,y) : −1 ≤ x ≤ 0, 0 ≤ y ≤ 1} together with the triangle {(x,y) : x ≤ y ≤ 1, 0 ≤ x ≤ 1}. Method 1 : (easy). integrate with respect to x first. A diagram will show that x goes from −1 to y, and then y goes from 0 to 1. The integral becomes ZZ D (xy −y3)dA = Z 1 0 Z y −1 ... ................
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