1. A method for generating a tomographic result image dataset of a measurement object with the aid of a computed tomography system including at least two simultaneously operable sets of detector elements to jointly scan a measurement object from a multiplicity of projection angles, the method comprising: measuring incident radiation over an entire energy spectrum of the incident radiation in an integrating manner via at least one first set of integrating detector elements and defining the measured incident radiation as a first projection dataset; measuring incident radiation in at least two energy ranges in a resolving manner via at least one second set of counting detector elements and defining the measured incident radiation in at least two energy ranges as a second projection dataset; and calculating the tomographic result image dataset from the first and second projection dataset, wherein a weighting is applied to data originating from the first and second projection dataset.