ABSTRACT

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. Readers discover the beau

chapter 1|8 pages

A family of logarithmic integrals

chapter 2|10 pages

Elementary logarithmic integrals

chapter 4|12 pages

The gamma function

chapter 5|16 pages

Some trigonometric integrals

chapter 6|18 pages

The beta function

chapter 7|18 pages

Elementary examples

chapter 10|26 pages

The digamma function

chapter 11|16 pages

The incomplete beta function

chapter 12|8 pages

Some logarithmic integrals

chapter 13|6 pages

Trigonometric forms of the beta function

chapter 14|8 pages

An elementary proof of entry 3.411.5

chapter 15|8 pages

Frullani integrals

chapter 16|36 pages

Index of entries