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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