2. 1/3
3.
4. -13/6
5. (1 - cos 1)/2
6. 5/2 - 4 ln 2
7. 
= 1/12
9. 
= -19/42
11. 
= (e4 - 4e)/2
13. 
= (1 - cos 1)/2
15. 
= 500/3
17. 
= 1/8
19. 
= 6/35
21. 
= 31/8
23. 
25. 
= 1/6
39. 
= (e9 - 1)/6
41. 
= (sin 81)/ 4
43. 
[After the first integration there's a clever u = cos x substitution to
be made]
47. Since for points in [0,1] 
[0,1] the integrand is between 0 and 
,
the value of the integral also lies between 0 and .