Dear math expert, kindly help to provide working solution for the questions. Thank you

4. Show that (a) flirt: aln2 + 1(tan'1 b tan1c) where the 0 332 + 3:1: + 4 _ ' numbers a, b, c are to be determined. 1 (h) / 23+22d1r = r, where the numbers A, B , C are to be deter o mined. as . . 1 + 31:2 + gr?\" 3: = 0 and y = 0. Flnd the volume when R 1s rotated 271' radlans about the the line a: = 2. Express your answer in terms of 71'. 5. Let R be the region bounded by the curve y = 3: = 1