The diagram shows a sketch of part of the curve with equation y = x 2 +

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The diagram shows a sketch of part of the curve with equation y = x2 + 1 and the line with equation y = 7 − x.


The finite region, R1 is bounded by the line and the curve.


The finite region, R2 is below the curve and the line and is bounded by the positive x- and y-axes as shown in the diagram.


a. Find the area of R1.


b. Find the area of R2.


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