© 2020

Inside Interesting Integrals

A Collection of Sneaky Tricks, Sly Substitutions, and Numerous Other Stupendously Clever, Awesomely Wicked, and Devilishly Seductive Maneuvers for Computing Hundreds of Perplexing Definite Integrals From Physics, Engineering, and Mathematics (Plus Numerous Challenge Problems with Complete, Detailed Solutions)


Part of the Undergraduate Lecture Notes in Physics book series (ULNP)

Table of contents

  1. Front Matter
    Pages i-xlvii
  2. Paul J. Nahin
    Pages 1-58
  3. Paul J. Nahin
    Pages 59-99
  4. Paul J. Nahin
    Pages 101-148
  5. Paul J. Nahin
    Pages 149-180
  6. Paul J. Nahin
    Pages 181-226
  7. Paul J. Nahin
    Pages 227-274
  8. Paul J. Nahin
    Pages 275-350
  9. Paul J. Nahin
    Pages 351-422
  10. Paul J. Nahin
    Pages 423-448
  11. Back Matter
    Pages 449-503

About this book


What’s the point of calculating definite integrals since you can’t possibly do them all?

What makes doing the specific integrals in this book of value aren’t the specific answers we’ll obtain, but rather the methods we’ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future.

This book, now in its second edition, is written in a light-hearted manner for students who have completed the first year of college or high school AP calculus and have just a bit of exposure to the concept of a differential equation. Every result is fully derived. If you are fascinated by definite integrals, then this is a book for you. New material in the second edition includes 25 new challenge problems and solutions, 25 new worked examples, simplified derivations, and additional historical discussion. 


Differentiation Under the Integral Dirichlet Integral Euler Log-sine Integral Feynman Integral Integration Methods Integration Techniques Leibnitz Formula Lesbesque Integral Riemann Integral Symbolic Integration

Authors and affiliations

  1. 1.Department of Electrical EngineeringUniversity of New HampshireDurhamUSA

About the authors

Paul J. Nahin is professor emeritus of electrical engineering at the University of New Hampshire. He is the author of 21 books on mathematics, physics, and the history of science, published by Springer, and the university presses of Princeton and Johns Hopkins. He received the 2017 Chandler Davis Prize for Excellence in Expository Writing in Mathematics (for his paper “The Mysterious Mr. Graham,” The Mathematical Intelligencer, Spring 2016). He gave the invited 2011 Sampson Lectures in Mathematics at Bates College, Lewiston, Maine.

Bibliographic information

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