10.2微積分第一基本定理

 

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10-2 微積分第一基本定理             

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一、微積分第一基本定理

已知函數定義在區間內為連續函數,則

 

通式(1).

通式(2).


 

 

1.,則=    

 

 

 


 

 

2. 計算,求

 


 

 

3. 計算

 


 

 

4. 計算

 


 

 

 

 

 

 

 

練習題. 計算

令  

所以 

5. Use Part 1 of Fundamental Theorem of Calculus the find the derivative of the function .

 

解答:

 and

So by Part 1 of Fundamental Theorem of Calculus  

 

 

 

6. Use Part 1 of Fundamental Theorem of Calculus the find the derivative of the function .

 

解答:

 and

So by Part 1 of Fundamental Theorem of Calculus  

 

 

  

7. Use Part 1 of Fundamental Theorem of Calculus the find the derivative of the function .

 

解答:

 and

So by Part 1 of Fundamental Theorem of Calculus  

 

 

  

 

8. Use Part 1 of Fundamental Theorem of Calculus the find the derivative of the function .

 

解答:

 and

So by Part 1 of Fundamental Theorem of Calculus  

 

 

 

  

9. Use Part 1 of Fundamental Theorem of Calculus the find the derivative of the function .

 

解答:

So by Part 1 of Fundamental Theorem of Calculus  

 

 

  

10. Use Part 1 of Fundamental Theorem of Calculus the find the derivative of the function .

 

解答:

Let , , and  

So by Part 1 of Fundamental Theorem of Calculus  

 

 

 

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