  We construct an infinite dimensional Lie rackoid Y which hosts an integration
of the standard Courant algebroid. As a set, Y = C $\infty$ ([0, 1], T * M) for
a compact manifold M. The rackoid product is by automorphisms of the Dorfman
bracket. The first part of the article is a study of the Lie rackoid Y and its
tangent Leibniz algebroid a quotient of which is the standard Courant
algebroid. In a second part, we study the equivalence relation related to the
quotient on the rackoid level and restrict then to an integrable Dirac
structure. We show how our integrating object contains the corresponding
integrating Weinstein Lie groupoid in the case where the Dirac structure is
given by a Poisson structure.
