Chapman and Hall/CRC
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
A Family of Logarithmic Integrals. Elementary Logarithmic Integrals. Combinations of Logarithms and Exponentials. The Gamma Function. Some Trigonometric Integrals. The Beta Function. Elementary Examples. Combinations of Powers, Exponentials and Logarithms. Combinations of Logarithms, Rational and Trigonometric Functions. The Digamma Function. The Incomplete Beta Function. Some Logarithmic Integrals. Trigonometric Forms of the Beta Function. An Elementary Evaluation of Entry 3.411.5. Frullani Integrals. Complete Elliptic Integrals. The Riemann Zeta Function. Some Automatic Proofs. The Error Function. Hypergeometric Functions.