Good books on integrals

Question

I'm a math student at the sixth semester and I've had my courses in calculus and complex analysis. I'm able to solve integrals with the usual techniques. However, whenever I am confronted with a difficult integral or with a manipulation of integrals, I usually don't know what to do.

So I'd like to read an advanced book on integrals, on how to solve them, how to manipulate them, how to estimate them. Does anyone have a good suggestion on such a kind of book?

Thanks a lot!

If you mostly work with definite integrals (much more tricky and interesting bunch) this book will be great: Inside Interesting Integrals... — Yuriy S, Apr 27 '16 at 11:32

score 3 · Accepted Answer · answered Apr 27 '16 at 11:27

3

The book named Irresistible Integrals by George Boros and Victor Moll seems to fit to your purpose. I found it several years before after having hard time trying to prove some integral formula in the integral table of G&R and it really was helpful.

answered Apr 27 '16 at 11:27

cjackal

2,173

score 2 · Answer 2 · edited Apr 27 '16 at 12:49

2

A Garden of Integrals is quite nice.

edited Apr 27 '16 at 12:49

zz20s

6,712

answered Apr 27 '16 at 12:31

BBischof

5,807

This answer may be valid, but a bit more background or explanation about the book may be helpful. – zz20s Apr 27 '16 at 12:50

Good books on integrals

2 Answers2