Pazopanib Hydrochloride, Paclitaxel, and Carboplatin in Treating Patients With Refractory or Resistant Ovarian Epithelial Cancer, Fallopian Tube Cancer, or Peritoneal Cancer

RATIONALE: Pazopanib hydrochloride may stop the growth of tumor cells by blocking some of the enzymes needed for cell growth or by blocking blood flow to the tumor. Drugs used in chemotherapy, such as paclitaxel and carboplatin, work in different ways to stop the growth of tumor cells, either by killing the cells or by stopping them from dividing. PURPOSE: This randomized phase I/II trial is studying the side effects and best dose of pazopanib hydrochloride when given together with paclitaxel and carboplatin in treating patients with refractory or resistant ovarian epithelial cancer, fallopian tube cancer, or peritoneal cancer.