IB DP Maths: AA SL复习笔记5.4.3 Definite Integrals
Definite Integrals
What is a definite integral?
The constant of integration (“+c”) is not needed in definite integration
- “+c” would appear alongside both F(a) and F(b)
- subtracting means the “+c”’s cancel
How do I find definite integrals analytically (manually)?
STEP 1
Give the integral a name to save having to rewrite the whole integral every time
If need be, rewrite the integral into an integrable form
STEP 2Integrate without applying the limits; you will not need “+c”
Notation: use square brackets [ ] with limits placed at the end bracket
Notation: use square brackets [ ] with limits placed at the end bracket
STEP 3
Substitute the limits into the function and evaluate
Exam Tip
- If a question does not state that you can use your GDC then you must show all of your working clearly, however it is always good practice to check you answer by using your GDC if you have it in the exam
Worked Example
Properties of Definite Integrals
Fundamental Theorem of Calculus
What are the properties of definite integrals?
Exam Tip
- Learning the properties of definite integrals can help to save time in the exam
Worked Example
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