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On this site I usually see very amazing techniques to solve integrals; contour integrals, differentiating under the integral sign, transforming the integral into a series and son on and so forth.

What I really like is that seemingly difficult integrals become very easy to evaluate; you just need this "a-ah" moment and the right technique.

I know that this skill must be trained, so I would like to find a book or a website which has a collection of such integrals.

I don't mean just difficult integrals, for which you have to work through pages of calculations; I want integrals that are easy to solve if you know how to apply the right technique

Can somebody point me in the right direction?

Ant
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    It's fine to swallow all these books and to become an integral wizard. But think of the following proverb I once read on a large lollypop: "Look alive – You can be replaced by a button". – Note that the real problem consists in finding an invariant that distinguishes between "integrable" and "nonintegrable" expressions. – Christian Blatter Jan 08 '15 at 19:01

2 Answers2

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Here are some reference sources:

  1. Inside Interesting Integrals by Paul J. Nahin
  2. A Treatise on Integral Calculus Volume 1 and Volume 2 by Joseph Edwards
  3. Superhuman Integration Techniques by Andre Kessler
  4. Integration: The Feynman Way
  5. Wikipedia: Differentiation Under The Integral Sign
  6. sos440's blog
Venus
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Irresistible Integrals by George Boros and Victor Moll is a fantastic book for all sorts of interesting approaches to integrals.

Mike Miller
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