AQA A Level Maths: Pure复习笔记8.1.1 Fundamental Theorem of Calculus

Fundamental Theorem of Calculus

What is the fundamental theorem of calculus?

8.1.1-Notes-fig1

  • The Fundamental Theorem of Calculus states that integration is the inverse process of differentiation
    • This form of the Theorem relates to Indefinite Integration
    • An alternative version of the Fundamental Theorem of Calculus involves Definite Integration

What is “+c” (plus c)?

  • 8.1.1-Notes-fig2

Notation

8.1.1-Notes-fig3

  • If it has more than one term the function to be integrated (called the integrand) should be in brackets
    • “Integrate” -–  “all of (…)”  -–  “with respect to x”
  • dx means integrate with respect to x, any other letter is treated like a number (ie like a constant)

Worked Example

8.1.1-Example-fig1

 

 

 

 

 

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