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Day 153 — 2026 MIT Integration Bee Qualifying (Q19) 365 Problems for 365 Days Today’s problem is a nested logarithm integration question that shows up a lot in AP Calculus and contest math: you’re looking for the “perfect substitution” hidden in the denominator xlog(x). If you choose the right u-sub, the integral turns into a clean integration-by-parts problem with ulog(u). Problem: Integral of [ log(log x) * log(log(log x)) ] / [ x * log x ] dx High-yield hint: \t•\tIf you see dx/(x log x), thi
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🔥 Day 139 — 2026 MIT Integration Bee (Qualifying) Q2 Evaluate: ∫ e^(2026·e^x) · e^x dx This is a perfect u-sub “inside-the-exponential” setup. If you set u = 2026·e^x, then du = 2026·e^x dx and the integral collapses immediately. 👉 Hints • u = 2026·e^x • du = 2026·e^x dx → (e^x dx) = du/2026 • Integral becomes (1/2026) ∫ e^u du Would you catch the substitution in time? ⏱️ 💭 Drop your answer below 👇 ✅ Full step-by-step solution is on my page. ➡️ Follow for the rest of the 2026 Qualifying set!
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