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🧠 Columbia University Integration Bee – 2025 Qualifying Round Solutions | Step-by-Step Walkthrough 🧠 In this video, we break down the official-style solutions to the integrals from the 2025 Columbia University Integration Bee Qualifying Round. Whether you’re preparing for an upcoming competition or sharpening your calculus skills, this walkthrough provides clear, methodical explanations to help you master each problem. Follow along as we unpack a variety of integrals—ranging from clever substitutions to trigonometric manipulations, partial fractions, pattern recognition, and more. Each solution is explained step-by-step to strengthen both your technique and intuition. 📘 What You’ll Learn: – How to approach contest-level integrals – Common tricks used in Integration Bees – When to use substitution, identities, or algebraic rewrites – Efficient strategies for time-pressured problem solving – Insight into the structure and difficulty of qualifying-round problems Perfect for students, math enthusiasts, competitors, or anyone wanting to boost their integration skills! #IntegrationBee #ColumbiaUniversity #ColumbiaIntegrationBee #IntegrationBee2025 #MathCompetition #Calculus #IntegralSolutions #STEM #MathChallenge #AdvancedCalculus #MathContest #ProblemSolving