Area of a circle and integral

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Ray Vickson
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We indeed have different definition for "straightforward". =)

Can you suggest another way of solving this besides the previous 2 methods?
Of course, the best way is to switch to polar coordinates right away in the 2d-integral (but for some unknown reason, you are not allowed to do that).

RGV
 
  • #27
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After some more thought, I found no method that can solve this by only using symmetry. And the easiest, and clearly visible method is of course using polar co-ordinates as suggested above.

I am interested to know what your professor has to say about this.
 

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