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Some versions of Henstock-Kurzweil integral with respect to different derivation bases for functions with values in Dedekind complete Riesz spaces are studied. Fundamental Theorem of Calculus are proved for these integrals and an application to Walsh series is given.doi:10.14321/realanalexch.29.1.0419 fatcat:moupvyrdg5frxic23nud7hghwu