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This volume provides self-contained proofs of a variety of entries in the frequently used table of integrals by I.S. Gradshteyn and I.M. Ryzhik. It collects 15 papers from Revista Scientia covering logarithmic integrals, the gamma function, trigonometric integrals, the beta function, the digamma function, the incomplete beta function, Frullani integrals, and various combinations. The book gives the most elementary arguments possible and uses Mathematica to verify the formulas. Readers discover the beauty, patterns, and unexpected connections behind the formulas.
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