Abstract
Integrals involving families of elliptic-type integrals have their importance in certain problems pertaining to the study of crystallographic minimal surface and in the theory of scattering of acoustic or electromagnetic waves. By the use of some explicit representations of the unified elliptic-type integrals, various integrals and multiple integrals, involving a unified family of elliptic-type integrals are derived in the present investigation. The results derived in this article are of manifold generality and provide relevant connections with the large number of known results established earlier.
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