find the area of the region bounded by (y)=(x-1)^2 +1, the a-axis x=-1 and x=2
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If S denotes integral and [low,high] are the integration limits the area is S[-1,2](((x-1)^2+1)dx)=S[-1,2]((x^2-2x+2)dx)=(x^3/3-x^2+2x)[-1,2]=8/3-4+4+1/3+1+2=8/3+10/3=6.

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