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Lösung 2.1:1a

Aus Online Mathematik Brückenkurs 2

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K (Robot: Automated text replacement (-{{Displayed math +{{Abgesetzte Formel))
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Because the region is a rectangle, we can determine its area directly and obtain
Because the region is a rectangle, we can determine its area directly and obtain
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{{Displayed math||<math>\int\limits_{-1}^{2} 2\,dx = \text{(base)}\cdot\text{(height)} = 3\cdot 2 = 6\,\textrm{.}</math>}}
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{{Abgesetzte Formel||<math>\int\limits_{-1}^{2} 2\,dx = \text{(base)}\cdot\text{(height)} = 3\cdot 2 = 6\,\textrm{.}</math>}}

Version vom 12:57, 10. Mär. 2009

The value of the integral can be interpreted as the area under the graph y=2 from x=1  to x=2.

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

212dx=(base)(height)=32=6.