Calculus problem #2207

Calculus Level 2

What is the area bounded by the region x y 2 x \geq y^2 and y x + 2 y \leq -x+2 ?


The answer is 4.5.

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1 solution

meeting points are (1,1) and (4,-2) integrate the curve over 0 to 1 and then 0 to 4 and add them subtract the area bounded by the line and parabola in IV quadrant add the small area left in the I quadrant

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