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Sec16.3: Reordering Integration
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An example of reordering the integration in a iterated integral.
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Sec16.3: Reordering Integration
1.
2.
To
reorder the integration, we must first sketch the region to see what it looks like so that we can describe its boundaries.
3.
Now,
we have the integral
4.
Given
this region, we must first find the left/right boundaries x = l ( y ) and x = r ( y )
5.
Then
we must find the top/bottom boundaries y = t and y = b
6.
Now,
we just have to evaluate this iterated integral...
7.
etc.
8.
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![Reordering Integration in Iterated Integrals ,[object Object],[object Object],[object Object]](https://image.slidesharecdn.com/sec163-110709130535-phpapp01/85/Sec16-3-Reordering-Integration-1-320.jpg)
