Combination Chemotherapy in Treating Patients With Untreated Ovarian, Peritoneal, or Fallopian Tube Cancer

DISEASE CHARACTERISTICS: * Histologically confirmed previously untreated ovarian epithelial carcinoma, peritoneal carcinoma, or fallopian tube carcinoma * The following histologic epithelial cell types are eligible: * Serous adenocarcinoma * Endometrioid adenocarcinoma * Mucinous adenocarcinoma * Undifferentiated carcinoma * Clear cell adenocarcinoma * Mixed epithelial carcinoma * Transitional cell * Malignant Brenner tumor * Adenocarcinoma not otherwise specified * No more than 12 weeks since diagnosis * No ovarian epithelial carcinoma of low malignant potential (borderline carcinomas) PATIENT CHARACTERISTICS: Age: * Not specified Performance status: * GOG 0-2 Life expectancy: * Not specified Hematopoietic: * WBC at least 3,000/mm\^3 * Platelet count at least 100,000/mm\^3 * Absolute granulocyte count at least 1,500/mm\^3 Hepatic: * Bilirubin no greater than 1.5 times normal * SGOT/SGPT no greater than 3 times normal * Alkaline phosphatase no greater than 3 times normal * Gamma-glutamyl-transferase no greater than 3 times normal * No acute hepatitis Renal: * Creatinine no greater than 2.0 mg/dL OR * Creatinine clearance greater than 50 mL/min Cardiovascular: * LVEF normal by MUGA * No unstable angina * No myocardial infarction within the past 6 months * Patients with abnormal cardiac conduction (e.g., bundle branch block or heart block) are eligible if disease has been stable for the past 6 months Other: * No septicemia or severe infection * No severe gastrointestinal bleeding * No other invasive malignancy within the past 5 years except nonmelanoma skin cancer PRIOR CONCURRENT THERAPY: Biologic therapy: * Not specified Chemotherapy: * No prior chemotherapy Endocrine therapy: * Not specified Radiotherapy: * No prior radiotherapy Surgery: * Recovered from recent prior surgery Other: * No prior anticancer therapy that would preclude study