Please show work, don't understand how to solve

Use Volumes of Revolution for Questions 3 and 4 Sketch the solid obtained by rotating the shaded region R about the x-axis, then find the Use Integration by Partial Fractions for Questions 5 and 6 volume of the solid about the x-axis. [5] ox+ dx 5. Use partial fractions to find ( +2)?" 6Ty [5] Calculators may be used, but calculus-like working must be shown. Use Integration by Parts for Questions 1 and 2 . Use integration by parts to find | 4xcos(2 -3x) dx. [5] 3x 6. Evaluate Jo _6x49dx [5] 2. Find (5x + 1)(x -6) dx [5] 4. Find the volume of revolution if you spin x = 2vy , x=0,y=5; about the y-axis. Leave answer in terms of n . [5]