A note on the Moll–Arias de Reyna integral

The Ramanujan Journal(2019)

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摘要
The Moll–Arias de Reyna integral ∫ _0^∞dx/(x^2+1)^3/21/√(φ (x)+√(φ (x))) where φ (x)=1+4/3( x/x^2+1) ^2 is generalized and several values are given.
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关键词
Definite integral,Elliptic integral,Elliptic modulus,Algebraic integrand
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