Find the area bounded by the curves x = y2 and x = 3 − 2y2.
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x = y2 is a parabola opening towards positive x-axis , having vertex at O (0,0) and symmetrical about x-axis
x = 3 − 2y2 is a parabola opening negative x-axis, having vertex at A (3, 0) and symmetrical about x-axis, cutting y-axis at B and B'
Solving the two equations for the point of intersection of two parabolas