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

What is the fundamental theorem of calculus?

• 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)?

Notation

• 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)