• SOME INTEGRALS CONNECTING WITH TRIGONOMERIC INFINITE SERIES

Ramesh Kumar Muthumalai*

Abstract


Some integrals are evaluated through infinite series using Ramanujan trigonometric series studied in the paper titled “On the integral ∫_0^x▒〖tan〗^(-1)⁡t/t dt". Some integrals identities are given in closed form.

Keywords


Definite integral; Infinite series; Ramanujan notebooks; Catalan constant.

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