



![🚨Stop wasting 15 minutes on a single definite integral during your exams. 🛑 Use this instead! ⚡ If you are grinding through half-angle formulas to solve ∫ [0 to π/2] sin^m(x) cos^n(x) dx, you](https://image.pictame.com/img/670753648_17867393841669295_7557668887988402964_n.jpg?hash=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)
![99% of calculus students get stuck on this exact step. 🛑 Can you solve the hardest integral you’ll see today? At first glance, ∫ [ln(x) / (1 + e^x)] dx looks like a straightforward integration by p](https://image.pictame.com/img/671832912_17867166294669295_5240736735649759239_n.jpg?hash=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)






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