Please help to solve the question with working, thank you very much

Q6. R r = Figure 4 Figure 4 shows a sketch of part of the curve with equation y = x(sin x + cosx), Ox The finite region R, shown shaded in Figure 4, is bounded by the curve, the x-axis and the line x = This shaded region is rotated through 27 radians about the x-axis to form a solid of revolution, with volume V. (a) Assuming the formula for volume of revolution show that V = Jo Ix? (1 + sin 2x)dx (3) (b) Hence using calculus find the exact value of V You must show your working. (Solutions based entirely on graphical or numerical methods are not acceptable. ) (9) (Total for question = 12 marks)