Let's transform our system: x = y2/2, x = y +4; and change variables: y = x2/2, y = x +4. Let’s find the points of interception: x2/2=x+4x2/2-x-4=0 x=4 or x=-2 S= Integral(x+4-x2/2)dx |x=-2x=4=(x2/2+4x-x3/6) |x=-2x=4=18
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