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Let f(x)=Min{x^(2)+1,x+1} for 0 <= x <= ...

Let f(x)=Min`{x^(2)+1,x+1}` for `0 <= x <= 2` .If `A` is the area bounded by `y=f(x)`, the `x`-axis in the interval `[0,2]` then find the integral part of `A`

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