A 2025 MIT Integration Bee Problem
A clever substitution and a standard result might help!
Recently I have been tutoring a friend’s son from the local church, and in the last session we used the Miro board to conduct our session online, which turned out to be pretty good. If you or someone you know would like to have some math lessons, please send me a message or take a look at the information here.
Anyway this integral puzzle comes from the 2025 MIT integration bee qualifying round.
A lot of times, math competitions use the year as one of the numbers in their problems. In our case we are dealing with an integrand which has two 2025s and one 2024 as the powers of our expression.
So can you crack this?
Grab a pen and paper and give this a go. And when you are ready, keep reading for the solution.
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