A Guide to the Evaluation of IntegralsSpecial Integrals of Gradshetyn and Ryzhik: the Proofs provides self-contained proofs of a variety of entries in the frequently used table of integrals by I.S. Gradshteyn and I.M. Ryzhik. The book gives the most elementary arguments possible and uses Mathematica to verify the formulas. You will discover the bea

chapter 1|14 pages

Complete elliptic integrals

chapter 2|10 pages

The Riemann zeta function

chapter 3|20 pages

Some automatic proofs

chapter 4|18 pages

The error function

chapter 5|12 pages

Hypergeometric functions

chapter 6|20 pages

Hyperbolic functions

chapter 7|22 pages

Bessel-K functions

chapter 9|6 pages

Polylogarithm functions

chapter 10|12 pages

Evaluation by series

chapter 11|12 pages

The exponential integral

chapter 12|16 pages

More logarithmic integrals

chapter 15|40 pages

The list of integrals