Reordering Integration in Iterated Integrals <ul><li>Image by Ohare, Brews. (2008).  </li></ul><ul><li>English: Interchang...
To   reorder   the   integration,   we must   first   sketch   the   region   to see   what   it   looks   like   so   tha...
Now,   we   have   the   integral
Given   this   region, we   must   first   find the   left/right   boundaries x   = l ( y )   and   x   =   r ( y )
Then   we   must   find the   top/bottom   boundaries y   =   t   and   y   =   b
Now,   we   just   have   to   evaluate this   iterated   integral...
etc.
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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.
  8. 8. Thank you for evaluating AnyBizSoft PDF to PowerPoint. You can only convert 5 pages with the trial version. To get all the pages converted, you need to purchase the software from: http://www.anypdftools.com/buy/buy-pdf-to-powerpoint.html
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