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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. ( ) +