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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. 1. Reordering Integration in Iterated Integrals <ul><li>Image by Ohare, Brews. (2008). </li></ul><ul><li>English: Interchange of order of integration. </li></ul><ul><li>Retrieved from http://en.wikipedia.org/wiki/Order_of_integration_(calculus) </li></ul>
2. 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. 3. Now, we have the integral
4. 4. Given this region, we must first find the left/right boundaries x = l ( y ) and x = r ( y )
5. 5. Then we must find the top/bottom boundaries y = t and y = b
6. 6. Now, we just have to evaluate this iterated integral...
7. 7. etc.
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