Package contains two functions. SemiIntegrateList and FractionalIntegrateList. FractionalIntegrateList fractionally integrates vector data or {x,y} data. SemiIntegrateList performs a 0.5 integration on vector data or lists of {x,y} data. Full discussion contained in Appendix 2 of Simulating Electrochemical Reactions with Mathematica by Michael Honeychurch.