Evaluation of an Integral
Abstract
The Moll-Arias de Reyna integral [1] $$\int_0^{\infty}\frac{dx}{(x^2+1)^{3/2}}\frac{1}{\sqrt{\varphi(x)+\sqrt{\varphi(x)}}}$$ $$\varphi(x)=1+\frac{4}{3}\left(\frac{x}{x^2+1}\right)^2$$ is generalised and several values are given.
- Publication:
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arXiv e-prints
- Pub Date:
- February 2018
- DOI:
- arXiv:
- arXiv:1802.10564
- Bibcode:
- 2018arXiv180210564G
- Keywords:
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- Mathematics - Classical Analysis and ODEs;
- 33E05;
- 30E20
- E-Print:
- 4 pages