The Balloon-borne Large Aperture Submillimeter Telescope ( BLAST ) has made one square degree , deep , confusion limited maps at three different bands , centered on the Great Observatories Origins Deep Survey South field . By calculating the covariance of these maps with catalogs of 24 µm sources from the Far-Infrared Deep Extragalactic Legacy Survey ( FIDEL ) , we have determined that the total submillimeter intensities are 8.60 \pm 0.59 , 4.93 \pm 0.34 , and 2.27 \pm 0.20 \mathrm { nW m } ^ { -2 } \mathrm { sr } ^ { -1 } at 250 , 350 , and 500 µm , respectively . These numbers are more precise than previous estimates of the cosmic infrared background ( CIB ) and are consistent with 24 µm-selected galaxies generating the full intensity of the CIB . We find that the fraction of the CIB that originates from sources at z \geq 1.2 increases with wavelength , with 60 % from high redshift sources at 500 µm . At all BLAST wavelengths , the relative intensity of high- z sources is higher for 24 µm-faint sources than it is for 24 µm-bright sources . Galaxies identified as active galactic nuclei ( AGN ) by their Infrared Array Camera ( IRAC ) colors are 1.6–2.6 times brighter than the average population at 250–500 µm , consistent with what is found for X-ray–selected AGN . BzK -selected galaxies are found to be moderately brighter than typical 24 µm-selected galaxies in the BLAST bands . These data provide high precision constraints for models of the evolution of the number density and intensity of star forming galaxies at high redshift .