Author: Aarav Gandewar
First Edition: 2025
Number of Pages: 143
"The Art of Integration" is the perfect book for integrals. “The Art of Integration” takes the readers on a journey from first principles of mathematical integrals to advanced techniques useful in competitions. It focuses on building intuition. This book aims to bridge the gap between routine school methods and deeper mathematical understanding. Whether you are encountering integration for the first time or looking to strengthen your mastery, this book helps you to see integration as an art. A paperback and PDF version are available
- Foundational Integration (Basic Rules)
- Basic Techniques: Substitution, Integration by Parts, Even/Odd Integrals, King’s Property
- Trigonometric Integration: Trigonometric & Weierstrass Substitution, Hyperbolic Integrals
- Improper Integrals: Comparison Tests, P-Test, Dirichlet’s Test
- Advanced Integration (I & II):
- Binomial Differentials
- Gamma & Beta Functions
- Frullani’s Integral
- Gaussian Identities
- Euler Substitution
- Series Expansion
- Feynman’s Trick (Differentiation under the Integral Sign)
- Glasser’s Integral
- Special Functions (Riemann Zeta, Dirichlet Eta/Beta)
- List of Known Integrals & Formulae
Very useful in competitions like MIT Integration Bee, CMU-Q, UKIB and SPIB
A watermarked specimen preview (First 30 pages) is provided for evaluation purposes only: **➡️ Download the specimen PDF **
Note: This specimen is NOT for redistribution or resale.
- Gumroad PDF: PDF version available: 👉 https://aaravgandewar.gumroad.com/l/saqaq
- Amazon Paperback: Paperback printed version available: 👉 https://www.amazon.com/dp/B0GCHJN1CJ
- 💬 Discord Server : Join the discord server for mathematical discussion and questions for the author: 👉 https://discord.gg/QjeafRNMDH
Copyright © 2025 Aarav Gandewar
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No part of this book may be reproduced, distributed, or transmitted in any form without prior written permission from the author, except for brief quotations used in reviews or academic commentary.