I'm looking for a reference -- of any kind, website or book -- for practicing integration techniques. The only book I have on hand is Stewart's calculus book, but that's not quite what I'm looking for.

I need something with a lot of different types of problems; problems on the challenging side -- in the sense that they involve some clever use of a common technique, or use of a lesser known technique, for example. With that said, I'll most definitely need an accompanying solutions manual.

I have some exposure in analysis at the level of baby Rudin, so more advanced references are welcome as well.

Note: I did do a search and found this post (Zwillinger), but didn't find much else.


3 Answers 3


The text you refer to is indeed well worth the cost. But for the sake of easing the strain on the "pocket-book", I'd suggest the relatively inexpensive books in the Schaum's Outline series: e.g. Calculus, or their 3000 Solved Problems in Calculus. Their series of outlines usually serve as a good quick references, but also as a great "work-books" full of exercises and solutions. You may want to search to see if they have one exclusively with respect to integration.

  • $\begingroup$ I have this one Amy. Good reference. $\endgroup$
    – Mikasa
    Mar 22, 2013 at 20:34
  • $\begingroup$ @amWhy So if cost wasn't an issue, you would suggest Zwillinger's book? $\endgroup$ Mar 22, 2013 at 21:05
  • $\begingroup$ Zwillinger's text: Yes, I very much recommend it: as a source for problems, but also as a reference with comprehensive toolkit of a whole array of techniques. And there are classic handbooks in math that come with a much heftier price tag than Zwillinger's. That said, Schaum's Outlines aren't a bad second choice, or additional choice: it's portable (paperback bound), so you they'd both be good to have. Check your local library for Schaum's; the handbook I imagine would only be found at a university/college library...perhaps available via interlibrary loan? $\endgroup$
    – amWhy
    Mar 22, 2013 at 22:16
  • 1
    $\begingroup$ Let me know your thoughts...With your background, you'd probably get more out of the handbook, but given the meager cost of Schaum's, you could put the skills/techniques you acquire from the handbook to work on some of the problems in Schaum's, at a more recreational level, perhaps. $\endgroup$
    – amWhy
    Mar 22, 2013 at 22:20

For finding the integration and its techniques good, I have suggested my students to be master in the following book:

Problems In Calculus Of One Variable by Issak Maron

May be it is an old one respect to what you have been suggested, but I strongly recommend you. Try it. :-)


These international editions also have a ton of practice problems regarding Calculus: Thomas and Finney Calculus ( I got 9th edition, but there is probably a newer one) Edwards and Penney Calculus with Analytic geometry

I got these books and I practiced the #%$@ out of them. Still use them for reference once in a while. Truth is though, that Stewart is a pretty good Calc book to study from, but you are right, when it comes to challenge problems, it's limited.


You must log in to answer this question.

Not the answer you're looking for? Browse other questions tagged .