text: [{"text_idx": "#000005", "text": "I. Evaluate the following integrals."}, {"text_idx": "#000007", "text": "Obtain reduction formula for In = \u222bcotn x dx, n being a positive integer, n \u2265 2 and deduce the value of \u222bcot4 x dx.\nIn = \u222bcotn dx = \u222bcotn-2 x . cot2 x dx"}, {"text_idx": "#000008", "text": "Obtain the reduction formula for In = \u222bcosecn x dx, n being a positive integer, n \u2265 2 and deduce the value of \u222bcosec5 x dx.\nIn = \u222bcosecn x dx"}, {"text_idx": "#000010", "text": "Evaluate \u222bsin5 x cos4 x dx"}]