Two ways of doing an integral: Index

I’m using the Twelve Days of Christmas (and perhaps a few extra days besides) to do something that I should have done a long time ago: collect past series of posts into a single, easy-to-reference post. The following posts formed my series on different ways of computing the integral \displaystyle \int \frac{dx}{\sqrt{4x-x^2}}.

Part 1: The two “different” answers.

Part 2: Explaining why the two “different” answers are really equivalent.