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...Probab th rel fields erobabmty theory lod springer verlag stochastic calculus with anticipating integrands d nualart and e pardoux facultat de matemmiques universitat barcelona gran via spain math matiques case h universit provence f marseille cedex france summary we study the integral defined by skorohod in of a possibly integrand as function its upper limit establish an extended it formula also introduce extension stratonovich s associated chain rule all results adaptedness is replaced certain smoothness requirement introduction standard integration measurability on essentially less restrictive than integrability condition which imposes bound absolute value one might say that situation reversed clearly prescribes should be independent future increments brownian integrator very whereas natural many situations where filtration represents evolution available information cases limitation has been felt quite both for developing well applications there have attempts particular during last ...