2024 MIT Integration Bee Finals Problem 1: Reverse-Engineering the Antiderivative
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2024 MIT Integration Bee Finals Problem 1: Reverse-Engineering the Antiderivative
A scary-looking integral from the 2024 MIT Integration Bee Finals Problem 1 becomes surprisingly simple once you spot the hidden derivative. The trick is to differentiate: e^(x/2)(3cos x + 4sin x)^(2/3), and watch the sine terms cancel perfectly. What looks messy at first is really the product rule and chain rule running backward — a ...
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