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I am willing to learn about integrals . So i wonder is there any systematic book about the topic that goes progressively in difficulty and complexity . My current level is about knowing the basic methods and theorems about the topic .

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    $\begingroup$ Have you taken time to skim through this site's archive of old questions? Most of my skill at integration is attributable to hanging out here a few times a week to integrate things. $\endgroup$ – David H Jul 11 '14 at 22:49
  • $\begingroup$ Follow @DavidH advice. There are many things around many textbooks. $\endgroup$ – Felix Marin Jul 11 '14 at 23:43
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    $\begingroup$ Ok , I will search the archive . Thanks . $\endgroup$ – Amri Amin Jul 12 '14 at 10:03
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One of the standards books used on the North American continent is Calculus by Michael Spivak. He does go through integrals progressively. Check the exercises at the end of the chapter regarding integrals.

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Boros and Moll, Irresistible Integrals, Cambridge University Press 2004 has some very nice content.

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