Pemetrexed Disodium and Cisplatin With or Without Cediranib Maleate in Treating Patients With Malignant Pleural Mesothelioma

Inclusion Criteria: * Patient must have histologically or cytologically confirmed diagnosis of malignant pleural mesothelioma; surgical resection must not be planned * Patients must have measurable or non-measurable disease by both RECIST and modified RECIST criteria for pleural tumors as documented by computed tomography (CT) scan; examinations for assessment of measurable disease must have been completed within 28 days prior to registration; examinations for assessment of non-measurable disease must have been performed within 42 days prior to registration; all disease must be assessed and documented on the RECIST 1.1 and Modified RECIST Baseline Tumor Assessment Form * Patients must not have received any prior systemic therapy (chemotherapy or other biologic therapy) for their unresectable malignant pleural mesothelioma; prior systemic chemotherapy or biologic therapy is allowed as neoadjuvant or adjuvant treatment, disease has now recurred, and all systemic treatment was completed \> 6 months prior registration; prior therapy must not have included cediranib * Patients may have received prior surgery (e.g., pleurectomy, pleurodeisis) provided at least 28 days have elapsed since surgery (thoracic or other major surgeries) and patients have recovered from all associated toxicities at the time of registration; there must be no anticipated need for major surgical procedures during protocol treatment * Patients may have received prior radiation therapy provided at least 28 day…