CRACKING THE MIT INTEGRATION BEE

CRACKING THE MIT INTEGRATION BEE

SAMPLE PDFs:

https://drive.google.com/drive/u/0/folders/1AYegYpvrMv_ZCxnHKeq9c2BAwhYdvDOj

A complete, contest-focused solutions book for the world’s most famous integration competition

This book is a rigorous, problem-driven guide to solving MIT Integration Bee Integrals with speed, structure, and real mathematical control.

Rather than giving you a list of tricks, it builds the exact instincts Integration Bee rewards: recognizing patterns, choosing the right approach quickly, and avoiding the common traps that waste time under pressure. Every solution is fully explained, and when a problem allows more than one clean idea, you’ll see alternative methods and the reasoning behind them.

📘 What this book contains

• 250+ MIT Integration Bee problems, completely solved
• Bee-time approaches, full solutions, and strategic shortcuts where appropriate
• Alternative methods for many problems (so you learn flexibility, not memorization)
• Common pitfalls and “what not to do” notes to prevent typical contest mistakes
• A short prerequisite toolkit (floor/ceiling, max/min, absolute value, symmetry, piecewise methods, etc.)

✍️ Topics & techniques you’ll actually use

• Casework mastery: absolute value, max/min, floor/ceiling, step behavior
• Symmetry, periodicity, and pairing tricks that cut work in half
• Substitution patterns (standard + creative), including (x -> 1/x) style transformations
• Integration by parts with smart choices and quick recurrences
• Trig identities, rational/trig integrals, and contest simplifications
• Advanced tools used in harder rounds (when needed): parameter differentiation, series ideas, special-function style structure

🎯 Who this book is for

• Students preparing for the MIT Integration Bee or any integration contest
• Undergraduates in math/physics/engineering who want serious integration skill
• Self-learners who enjoy challenging calculus and want polished, correct solutions
• Anyone who wants to think like a competitor, not just compute

📎 Format

• PDF (high-resolution, LaTeX typeset)
• Instant download via Gumroad
• Lifetime access

🔎 Why this book is different

Most Integration Bee resources show answers.
This book trains judgment.

You learn how to spot the underlying structure, choose the fastest method, and finish problems with confidence—even under time pressure. If you’ve ever watched the Integration Bee and thought, “How did they see that so fast?”, this is the book that explains it.

Find the Sample PDFs here:
https://drive.google.com/drive/folders/1Xh47OvQKWAYTRYLjoip_gGdKkOTKhuGU?usp=sharing