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We present the results of searches for high-energy muon neutrinos from 41gamma-ray bursts (GRBs) in the northern sky with the IceCube detector in its22-string configuration active in 2007/2008. The searches cover both the promptand a possible precursor emission as well as a model-independent, wide timewindow of -1 h to +3 h around each GRB. In contrast to previous searches with alarge GRB population, we do not utilize a standard Waxman-Bahcall GRB flux forthe prompt emission but calculate individual neutrino spectra for all 41 GRBsfrom the burst parameters measured by satellites. In none of the three timewindows do we find a deviation from the background-only hypothesis. Therefore,we place 90% CL upper limits on the fluence from the prompt phase of 3.7x10^-3erg cm^-2 (72 TeV - 6.5 PeV) and on the fluence from the precursor phase of2.3x10^-3 erg cm^-2 (2.2 TeV - 55 TeV), where the quoted energy ranges contain90% of the expected signal events in the detector. The 90% CL upper limit forthe wide time window is 2.7x10^-3 erg cm^-2 (3 TeV - 2.8 PeV) assuming an E^-2flux.

Search for muon neutrinos from Gamma-Ray Bursts with the IceCube neutrino telescope