Solution 2.1:1a
From Förberedande kurs i matematik 2
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
