CRACKING THE INTEGRATION BEE - Volume 2

CRACKING THE INTEGRATION BEE — Volume II

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

A complete, contest-focused solutions book for Integration Bees across top universities, built for speed, accuracy, and real problem control.

Volume I trained your instincts for the MIT Integration Bee.
Volume II expands the arena.

This is a rigorous, problem-driven guide featuring 300+ fully solved Integration Bee problems from multiple universities, including MIT, Carnegie Mellon, and Caltech, designed to make you faster, sharper, and more flexible under contest pressure.

Rather than dumping tricks, this book teaches what elite competitors actually do: recognize structure quickly, choose the best approach with confidence, and avoid the traps that steal time. Every solution is written with contest execution in mind, and when a problem admits multiple clean routes, you’ll see the alternatives, so you develop judgment, not memorization.

📘 What this book contains

• 300+ Integration Bee problems, completely solved
• Problems sourced from multiple universities (MIT, Carnegie Mellon, Caltech, and more)
• Bee-time approaches + full solutions, with strategic shortcuts where appropriate
• Alternative methods for many integrals (to build flexibility)
• Common pitfalls + “what not to do” notes to prevent typical contest mistakes
• A focused toolkit for frequent contest structures (piecewise, symmetry, floors/ceilings, etc.)

✍️ Topics & techniques you’ll actually use

• Casework mastery: absolute value, max/min, floor/ceiling, fractional part, step behavior
• Symmetry, periodicity, pairing, and involutions
• Substitution patterns (standard + creative), including contest-friendly transforms
• Integration by parts with smart choices, quick recurrences, and boundary control
• Trig identities, rational/trig integrals, Weierstrass substitution, and simplification tactics
• Advanced tools used in harder rounds (when needed): parameter differentiation, series expansions, special-function structure, clever bounding/cancellation

🎯 Who this book is for

• Students preparing for any Integration Bee (not just MIT)
• Undergraduates in math/physics/engineering who want high-level integration skill
• Self-learners who enjoy hard calculus and want polished, correct solutions
• Anyone who wants to think like a competitor, spot structure fast and finish cleanly

📎 Format

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

🔎 Why Volume II is different

Most resources are scattered: a few PDFs here, partial solutions there, and lots of missing steps.

Volume II is built to be the most complete integration contest solutions book available online.
It unifies problems from multiple universities into one consistent style, fully explained, contest-optimized, and structured to teach strategy.

You won’t just get answers.
You’ll gain the ability to look at a new integral and immediately know:
what matters, what to ignore, and what method wins.

If you want the strongest single training source for integration bees—this is it.

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