7:56 AM
The tag fallacies was created. The list of new tags says "created Nov 21 at 12:56", so probably it was created by Michael Hardy.
5
In this answer I used some symmetry to show that $$ \int_0^1 \frac{dx}{x+ \sqrt{1-x^2}} = \frac \pi 4. $$ Then I thought about whether I could make it simpler by avoiding trigonometric substitutions, like this: $$ y = \sqrt{1-x^2} $$ Therefore $$ y^2+x^2=1 \tag a $$ From the symmetry in line $(\t...
8:16 AM
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