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**Looking for a good book for PROOF-BASED integration**

Just to be clear, I'm not looking for a book that helps you to exercise calculating integrals, but more like problems that involve doing proofs involving integrals. Theoretical and abstract integration problems like the ones in this thread:

https://www.physicsforums.com/showthread.php?t=36033

Any good recommendation for these types of integration problems?

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