Find the area bounded by the curves y^2 = 2x + 6 and x = y + 1. Your work must include an integral in one variable.

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By solving the equation y + 1=(y^2+6)/2 we find that the points of intersection are (-1, -2) and (5,4)

We must integrate between the appropriate y-values , y=-2 and y=4. Thus

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