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Stewart Calculus Section 7.5

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- 1. 7.5 Strategy for IntegrationIntegration need to be memorized: √ √ − + ± −Integration need to know how to derive:
- 2. Ex:
- 3. Ex: + =
- 4. Ex: + = = +
- 5. Ex: + = = + = +
- 6. Ex: + = = + = + = ( / )
- 7. Ex: + = = + = + = ( / ) = ( / )+
- 8. Ex:
- 9. Ex: =
- 10. Ex: = =
- 11. Ex: = = = +
- 12. Ex: = = = + =
- 13. Ex: = = = + = =
- 14. Ex: = = = + = = = +
- 15. Ex: +
- 16. Ex: + = = + ( + ) +
- 17. Ex: + = = + ( + ) + + + = + + ( + )
- 18. Ex: + = = + ( + ) + + + = + + ( + ) = + + ( + )
- 19. Ex: + = = + ( + ) + + + = + + ( + ) = + + ( + ) = +
- 20. Ex: + = = + ( + ) + + + = + + ( + ) = + + ( + ) = + = + +
- 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. 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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