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## Main Question or Discussion Point

Take any given point on the perimeter of a (A x B) rectange and then draw a line from that point to another point on one of the three remaining sides of the rectangle. What is the average length of the line?

Well, the answer to that question involves integrals like this:

[tex]\int_0^A \int_0^B \sqrt{x^2 + y^2} dy dx[/tex]

This thing gets a bit interesting given that it's basically a polar type integral but with rectangular boundaries. Any ideas?

Thanks!

Chris

Well, the answer to that question involves integrals like this:

[tex]\int_0^A \int_0^B \sqrt{x^2 + y^2} dy dx[/tex]

This thing gets a bit interesting given that it's basically a polar type integral but with rectangular boundaries. Any ideas?

Thanks!

Chris