Calculus II - 2

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David Mao

Stewart Calculus Section 7.2

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7.2 Trigonometric Integrals

Find

Find

Find

Find

Find

Find

Find

Find

= ( + )

= ( + + )

= ( + + ( + ))

= + + +

Also works for when both m
and n are EVEN.

Find

+ =

= ( )·( )·
= = ( )·( )·

= +

Also works for when one of
m and n is ODD.

Find

=
= =

=
= = ( )

= +

Also works for when m is ODD.

Find

=
= =

=
= = ( + )

= + +

Also works for when n is EVEN.

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Calculus II - 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 = = = = = = + = ( + | + |) +

Calculus II - 2

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