Stewart Calculus Section 7.2

1. 7.2 Trigonometric Integrals
Find
Find
Find
Find
Find
Find
Find

2. Find

3. Find
= ( + )

4. Find
= ( + )
= ( + + )

5. Find
= ( + )
= ( + + )
= ( + + ( + ))

6. Find
= ( + )
= ( + + )
= ( + + ( + ))
= + + +

7. Find
= ( + )
= ( + + )
= ( + + ( + ))
= + + +
Also works for when both m
and n are EVEN.

8. Find

9. Find
+ =

10. Find
+ =
= ( )·( )·

11. Find
+ =
= ( )·( )·
= = ( )·( )·

12. Find
+ =
= ( )·( )·
= = ( )·( )·
= +

13. Find
+ =
= ( )·( )·
= = ( )·( )·
= +
Also works for when one of
m and n is ODD.

14. Find

15. Find
= [ ( )+ ( )]

16. Find
= [ ( )+ ( )]
= ( ) + ( )

17. Find
= [ ( )+ ( )]
= ( ) + ( )
= +

18. Find

19. Find
=
= =

20. Find
=
= =
=

21. Find
=
= =
=
= | |+

22. Find
=
= =

23. Find
=
= =
=

24. Find
=
= =
=
= = +

25. Find
=
= =
=
= = +
= + +

26. Find
=
= =

27. Find
=
= =
=

28. Find
=
= =
=
= = ( )

29. Find
=
= =
=
= = ( )
= +

30. Find
=
= =
=
= = ( )
= +
Also works for when m is ODD.

31. Find
=
= =

32. Find
=
= =
=

33. Find
=
= =
=
= = ( + )

34. Find
=
= =
=
= = ( + )
= + +

35. Find
=
= =
=
= = ( + )
= + +
Also works for when n is EVEN.

36. Find
=
= =

37. Find
=
= =
=

38. Find
=
= =
=
=

39. Find
=
= =
=
=
= +

40. Find
=
= =
=
=
= +
= ( + | + |) +