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7.5 Strategy for          IntegrationIntegration need to be memorized:                        √           √    −          ...
Ex:
Ex:          +      =
Ex:          +      =      =       +
Ex:          +      =      =       +      =           +
Ex:          +      =      =       +      =           +      =              ( / )
Ex:          +      =      =       +      =            +      =              ( / )      =   ( / )+
Ex:
Ex:      =
Ex:      =      =
Ex:      =      =      =   +
Ex:      =      =      =   +      =
Ex:      =      =      =   +      =      =
Ex:      =      =      =   +      =      =      =       +
Ex:      +
Ex:      +          =             =      +       (   + )       +
Ex:      +          =                    =      +       (   + )               +                  +           +          = ...
Ex:      +          =                         =      +       (   + )                   +                  +               ...
Ex:      +          =                         =      +       (   + )                   +                  +               ...
Ex:      +          =                             =      +       (   + )                       +                  +       ...
Elementary function:polynomials, rational func., power func., expfunc., log func., tri. and inverse tri. func.,hyperbolic ...
Elementary function:polynomials, rational func., power func., expfunc., log func., tri. and inverse tri. func.,hyperbolic ...
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Calculus II - 6

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Stewart Calculus Section 7.5

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Calculus II - 6

  1. 1. 7.5 Strategy for IntegrationIntegration need to be memorized: √ √ − + ± −Integration need to know how to derive:
  2. 2. Ex:
  3. 3. Ex: + =
  4. 4. Ex: + = = +
  5. 5. Ex: + = = + = +
  6. 6. Ex: + = = + = + = ( / )
  7. 7. Ex: + = = + = + = ( / ) = ( / )+
  8. 8. Ex:
  9. 9. Ex: =
  10. 10. Ex: = =
  11. 11. Ex: = = = +
  12. 12. Ex: = = = + =
  13. 13. Ex: = = = + = =
  14. 14. Ex: = = = + = = = +
  15. 15. Ex: +
  16. 16. Ex: + = = + ( + ) +
  17. 17. Ex: + = = + ( + ) + + + = + + ( + )
  18. 18. Ex: + = = + ( + ) + + + = + + ( + ) = + + ( + )
  19. 19. Ex: + = = + ( + ) + + + = + + ( + ) = + + ( + ) = +
  20. 20. Ex: + = = + ( + ) + + + = + + ( + ) = + + ( + ) = + = + +
  21. 21. Elementary function:polynomials, rational func., power func., expfunc., log func., tri. and inverse tri. func.,hyperbolic and inverse hyperbolic func., andtheir addition, subtraction, multiplication,division and compositions.
  22. 22. Elementary function:polynomials, rational func., power func., expfunc., log func., tri. and inverse tri. func.,hyperbolic and inverse hyperbolic func., andtheir addition, subtraction, multiplication,division and compositions.The antiderivative of an elementary function isnot necessarily elementary. ( ) +

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