IB DP Maths: AA HL复习笔记5.4.1 Integrating Special Functions
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
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
- However, do be familiar with the layout of the formula booklet
Worked Example
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