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IB DP Maths: AI SL復(fù)習(xí)筆記5.2.2 Introduction to Integration

Category: IB課程, 教材筆記, 福利干貨 Date: 2022年7月19日 下午5:12

Introduction to Integration

What is integration?

  • Integration?is the opposite to?differentiation
    • Integration is referred to as?antidifferentiation
    • The result of integration is referred to as the?antiderivative
  • Integration?is the process of finding the expression of a function (antiderivative) from an expression of the?derivative?(gradient?function)

What is the notation for integration?

  • An?integral?is normally written in the form

What is the constant of integration?

Integrating Powers of x

How do I integrate powers of x?

  • How do I integrate sums and differences of powers of x?

Exam Tip

  • You can speed up the process of integration in the exam by committing the pattern of basic integration to memory
    • In general you can think of it as 'raising the power by one and dividing by the new power'
    • Practice this lots before your exam so that it comes quickly and naturally when doing more complicated integration questions

Worked Example

5-2-2-ib-sl-ai-aa-we-soltn

 

 

 

 

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