The ornamental design for a table integrated with a tailgate cover, as shown.
FIG. 1 is a top perspective view, showing my table integrated with a tailgate cover new design in its environment of use;
FIG. 2 is a top plan view with the table secured to the tailgate cover thereof;
FIG. 3 is a top plan view with the table rotated thereof;
FIG. 4 is a bottom view with the table rotated thereof;
FIG. 5 is a rear elevation view with the table secured to the tailgate cover thereof;
FIG. 6 is a front elevation view with the table secured to the tailgate cover thereof;
FIG. 7 is a left side elevation view with the table secured to the tailgate cover thereof; and,
FIG. 8 is a right side elevation view with the table rotated.
The broken lines in FIG. 1 depict environmental subject matter of a rear of a vehicle, a heat shield and a storage opening for the invention and form no part of the claimed design.