Can you explain me step by step on how to solve this problem? My professor didn't explain it well and give a hard question instead of the same level of question on what he thought to us.

Write your answer to each question. 1. S(5ex - e)dx x4-6x3 texvx 2. dx Vx 3. 7uz + 2uz) du 4. f'dx X 5. [(ex+3 + ex-3) dx 6. S ( 5 Vy - Vy) dy 7. S( x -!) dx 8. S* !) dx 9. S(4x2 - 8x + 1) dx 10. S(2x - 5)(3x + 1)dxWrite your answer to each question. tan z 11. dz COS Z 4 sin x 12. J dx 3 tan x 13. S cost 20 do 14. S sin3 0 cos-2 0 do 15. S tan? x dx 7 16. S dx csc x 17. tan x dx 18. [ sin' x cos x dx 19. sin 4x cos 5x dx 1-tan x 20. S dx secz xWrite your answer to each question. 21. 275 dx 22. J 2,5 dx 23. So 12x - 3| dx 24. J1 4 u-2 Vu du It 1-sin2 0 25. do cos2 0 26. Find the area bounded by y = x2 + 4x -5 along the x-axis. 27. Find the area bounded by y = x2 - 5x - 6 and a line y = -2x + 4. 28. Find the area bounded by y = 6x2 - 4 andy = -x2 + 3. 29. Find the area bounded by x = y' + 4 and x - y = 4. 30. Find the area bounded by x = y + 2x + 1 in the lines x = -5 and x = -2