The integrals in Gradshteyn and Ryzhik. Part 8: Combinations of powers, exponentials and logarithms
Victor H. Moll, Jason Rosenberg, Armin Straub, Pat Whitworth
TL;DR
This paper evaluates specific definite integrals involving powers, exponentials, and logarithms from Gradshteyn and Ryzhik's table, providing explicit solutions for complex integrals.
Contribution
It offers new explicit evaluations of integrals combining powers, exponentials, and logarithms, expanding the known integral formulas in classical tables.
Findings
Explicit solutions for selected integrals involving powers, exponentials, and logarithms.
Enhanced understanding of integral combinations in classical integral tables.
Potential applications in mathematical analysis and applied fields.
Abstract
We present the evaluation of some definite integrals in the classical table by I. S. Gradshteyn and I. M. Ryzhik where the integrand is a combination of powers, exponentials and logarithms.
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Taxonomy
TopicsMathematical functions and polynomials · Mathematical Approximation and Integration · Matrix Theory and Algorithms