Calculus II - 3

377 views

Published on

Stewart Calculus Section 7.3

Published in: Education, Technology
0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total views
377
On SlideShare
0
From Embeds
0
Number of Embeds
2
Actions
Shares
0
Downloads
21
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • Calculus II - 3

    1. 1. 7.3 Trigonometric Substitution
    2. 2. 7.3 Trigonometric SubstitutionTwo Kinds of substitutions ( ( )) ( ) = ( )
    3. 3. 7.3 Trigonometric SubstitutionTwo Kinds of substitutions ( ( )) ( ) = ( )Ex1: =
    4. 4. 7.3 Trigonometric SubstitutionTwo Kinds of substitutions ( ( )) ( ) = ( )Ex1: = =
    5. 5. 7.3 Trigonometric SubstitutionTwo Kinds of substitutions ( ( )) ( ) = ( )Ex1: = =Ex2: = ·
    6. 6. 7.3 Trigonometric SubstitutionTwo Kinds of substitutions ( ( )) ( ) = ( )Ex1: = =Ex2: = · = − ≤ ≤
    7. 7. 7.3 Trigonometric SubstitutionTwo Kinds of substitutions ( ( )) ( ) = ( )Ex1: = =Ex2: = · = = − ≤ ≤
    8. 8. Expression Substitution Identity √ = − − = − ≤ ≤ √ = + + = − < < √ = − − = ≤ <
    9. 9. (0,b)Ex: Find the area. O (a,0)
    10. 10. (0,b)Ex: Find the area. O (a,0) √ = −
    11. 11. (0,b)Ex: Find the area. O (a,0) √ = − = = ≤ ≤
    12. 12. (0,b)Ex: Find the area. O (a,0) √ = − = = ≤ ≤ = ( + )
    13. 13. (0,b)Ex: Find the area. O (a,0) √ = − = = ≤ ≤ = ( + ) =[ + ] =
    14. 14. Ex: Find
    15. 15. Ex: Find = = − ≤ ≤
    16. 16. Ex: Find = = − ≤ ≤ = ( )
    17. 17. Ex: Find = = − ≤ ≤ = ( ) = +
    18. 18. Ex: Find = = − ≤ ≤ = ( ) = + = +
    19. 19. Ex: Find
    20. 20. Ex: Find √ = = < <
    21. 21. Ex: Find √ = = < < = | + |+
    22. 22. Ex: Find √ = = < < = | + |+ = + +
    23. 23. Ex: Find √ = = < < = | + |+ = + + = + +
    24. 24. Ex: Find +
    25. 25. Ex: Find + = − < = < + ·
    26. 26. Ex: Find + = − < = < + · =
    27. 27. Ex: Find + = − < = < + · = = =
    28. 28. Ex: Find + = − < = < + · = = = = +
    29. 29. Ex: Find + = − < = < + · = = = = + + = +
    30. 30. Ex: Find
    31. 31. Ex: Find = = +
    32. 32. Ex: Find = = + = ( )( ) =− < <
    33. 33. Ex: Find = = + = ( )( ) =− < < = +
    34. 34. Ex: Find = = + = ( )( ) =− < < = + = +
    35. 35. Ex: Find = = + = ( )( ) =− < < = + = + + = +

    ×