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Mar 29, 2017 at 20:56 comment added Mike Pierce Aw I would never have figured that second one out. That's really good.
Mar 29, 2017 at 20:42 history edited Simply Beautiful Art CC BY-SA 3.0
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Mar 29, 2017 at 20:35 comment added Simply Beautiful Art @MikePierce :-P Can you evaluate the second integral now though?
Mar 29, 2017 at 20:34 history edited Simply Beautiful Art CC BY-SA 3.0
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Mar 29, 2017 at 20:32 comment added Mike Pierce Wow, that's really nifty. :) And this integral is surprising related to some other problems I've been thinking about. I think you can also evaluate this one by writing it all in terms of $\tan^n(\theta)$ (or $\cot^n(\theta)$), making a substitution $u = \tan(\theta)$, and then using this cheeky trick.
Mar 29, 2017 at 19:09 history answered Simply Beautiful Art CC BY-SA 3.0