We report on a search for gravitational waves from coalescing compact binaries, of total mass between 2 and 35M(circle dot), using LIGO observations between November 14, 2006 and May 18, 2007. No gravitational-wave signals were detected. We report upper limits on the rate of compact binary coalescence as a function of total mass. The LIGO cumulative 90%-confidence rate upper limits of the binary coalescence of neutron stars, black holes and black hole-neutron star systems are 1.4x10(-2), 7.3x10(-4) and 3.6x10(-3) yr(-1) L-10(-1), respectively, where L-10 is 10(10) times the blue solar luminosity.
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