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Intriguing integrals: Part I
What's the integral of
? If you're up to speed with your calculus, you can probably rattle the answer off by heart. But can you prove it?
introduces an ingenious method for deriving the integral from first principles.
Intriguing integrals: Part II
Coming to think of it, is the standard formula for the integral of
really the best one?
makes an interesting case that it is not.