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🔥 Day 124 — 2025 MIT Integration Bee (Qualifying) Q7 Evaluate: ∫ [ x*log(x)cos(x) − sin(x) ] / [ xlog(x)^2 ] dx This looks nasty… until you reorganize it. Rewrite the integrand so the structure screams “reverse quotient rule.” If you can spot the right function in the numerator/denominator pairing, the antiderivative pops out immediately. 👉 Hints • Rearrange as: [ log(x)*cos(x) − (sin(x)/x) ] / [ log(x)^2 ]. • Ask: whose derivative has that exact pattern? Would you recognize it under speed-run
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