See these papers. Use whichever looks better to you.
1. Adv.Synth. Catal. 2015, 357,2322 –2330.
2. Tetrahedron 67 (2011) 4820-4825.
here is the experimental detail from the second paper (Ullman type):
9H-Carbazole (1.0 mmol), Cs2CO3 (1.0 mmol), iodobenzene (1.1 mmol), CuI (0.1 mmol), and DMF (2 mL) were added to a 5-mL vial. The vial was sealed with a crimp cap and placed in a Biotage initiator microwave cavity. After irradiation at 220 °C for the appropriate time and subsequent cooling, the reaction mixture was diluted with saturated aqueous ammonium chloride. Products were isolated by extraction into ethyl acetate. The organic layer was dried over anhydrous magnesium sulfate, filtered, and concentrated. Products were purified by silica gel column chromatography using a hexane/ethyl acetate solvent. N-Phenyl-carbazole (2a) was obtained (96percent yield) as a white solid. Mp 86-87 °C; 1H NMR (400 MHz, CDCl3) δ 8.18 (d, 2H, J=7.6 Hz), 7.61 (m, 4H), 7.50 (t, 1H), 7.44 (d, 4H, J=7.6 Hz), 7.32 (m, 2H); 13C NMR (100 MHz, CDCl3) δ 107.6, 104.5, 96.6, 94.2, 93.9, 92.7, 90.1, 87.0, 86.6, 76.5;