MIT Integration Bee 2024 Semifinals #1-2

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[@adandap]

Excellent problem. I now see that I didn't have to, but I did u = e^(-x) first and then did the series expansion of 1/(1+u) on the interval [0,1] instead.

[@owlsmath]

Hey adandap. Yeah really liked this one! And I see what you mean: I don't mind an extra u-sub if it helps clean things up. 👍👍

[@giuseppemalaguti435]

I=Σ((-1)^k)/(k+2)^2=1-π^2/12