Lösung 2.1:1a

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The integral's value can be interpreted as the area under the graph \displaystyle y=2 from \displaystyle x=-1\ to \displaystyle \text{ }x=2.


Because the region is a rectangle, we can determine its area directly and obtain


\displaystyle \int\limits_{-1}^{2}{2dx=} (base) \displaystyle \centerdot (height) \displaystyle =3\centerdot 2=6