IB DP Maths: AA HL复习笔记5.9.3 Integrating with Partial Fractions
Integrating with Partial Fractions
What are partial fractions?
- Partial fractions arise when a quotient is rewritten as the sum of fractions
- The process is the opposite of adding or subtracting fractions
How do I know when to use partial fractions in integration?
- For this course, the denominators of the quotient will be of quadratic form
- If the denominator does not factorise then the inverse trigonometric functions are involved
How do I integrate using partial fractions?
Exam Tip
- Always check to see if the numerator can be written as the derivative of the denominator
- If so then it is reverse chain rule, not partial fractions
- Use the number of marks a question is worth to help judge how much work should be involved
Worked Example
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