This clinical trial studies image-guided hypofractionated radiation therapy (RT) when given together with hypofractionated RT boost and combination chemotherapy in treating patients with stage II-III non-small cell lung cancer (NSCLC) that cannot be removed by surgery. RT uses high energy x-rays to kill tumor cells. Hypofractionated RT may be able to send x-rays directly to the tumor and cause less damage to normal tissue. Drugs used in chemotherapy, such as carboplatin and paclitaxel, work in different ways to stop the growth of tumor cells, either by killing the cells or by stopping them from dividing. Giving RT together with combination chemotherapy may kill more tumor cells and allow doctors to save the part of the body where the cancer started