In this note we consider two natural attempts to give a descriptive characterization for $H_1$-primitives, and discuss why these attempts fail. Meanwhile we get a new descriptive definition of the Henstock integral. Also, we prove that every Henstock integrable function can be written as a sum of a Lebesgue integrable and an $H_1$-integrable ones.
"Some comments on the H1-integral.." Real Anal. Exchange 29 (2) 789 - 798, 2003-2004.