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IB DP Maths: AA HL復(fù)習(xí)筆記5.4.1 Integrating Special Functions

Category: IB課程, 教材筆記, 福利干貨 Date: 2022年7月14日 下午5:14

Integrating Trig Functions

How do I integrate sin, cos and sec^2?

  • The?antiderivatives?for?sine?and?cosine?are
  • For?calculus?with?trigonometric?functions?angles must?be?measured?in?radians
    • Ensure you know how to change the angle mode on your GDC

Exam Tip

  • The formula booklet can be used to find antiderivatives from the derivatives
    • Make sure you have the page with the section of standard derivatives open
    • Use these backwards to find any antiderivatives you need
    • Remember to add 'c', the constant of integration, for any indefinite integrals

Worked Example

5-4-1-ib-hl-ai-aa-extraaa-we1b-soltn-

Integrating e^x & 1/x

How do I integrate exponentials and logarithms?

 

Exam Tip

  • Make sure you have a copy of the formula booklet during revision but don't try to remember everything in the formula booklet
    • However, do be familiar with the?layout?of the formula booklet
      • You’ll be able to quickly locate whatever you are after
      • You do not want to be searching every line of every page!
    • For formulae you think you have remembered, use the booklet to double-check

Worked Example

NA5HYQ75_5-4-1-ib-sl-aa-only-we2-soltn

 

 

 

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