AP Calculus BC · Unit 6: Integration and Accumulation of Change
6.12 Integrating Using Linear Partial Fractions
In short
This topic focuses exclusively on integrating rational functions by decomposing them into sums of ratios of linear, nonrepeating factors. The scope is strictly limited to linear, nonrepeating partial fractions; repeating or quadratic factors are not required. You must be able to determine indefinite integrals and evaluate definite integrals using this technique.
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What else do you need to know about Integrating Using Linear Partial Fractions?
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Can you do these?
- I can determine indefinite and evaluate definite integrals for integrands requiring integration by linear partial fractions.
- I can decompose rational functions into sums of ratios of linear, nonrepeating factors to apply basic integration techniques.
How is Integrating Using Linear Partial Fractions tested on the exam?
Assessed in the AP Calculus BC exam only. You may be required to apply this technique with or without technology (Suggested Skill 1.E). Questions will involve recognizing when a rational function can be decomposed into linear, nonrepeating factors and correctly applying basic integration techniques to the resulting terms.
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Integrating Using Linear Partial Fractions: common questions
What do you need to know about Integrating Using Linear Partial Fractions for AP Calculus BC?
This topic focuses exclusively on integrating rational functions by decomposing them into sums of ratios of linear, nonrepeating factors. The scope is strictly limited to linear, nonrepeating partial fractions; repeating or quadratic factors are not required. You must be able to determine indefinite integrals and evaluate definite integrals using this technique.
How is Integrating Using Linear Partial Fractions tested on the AP Calculus BC exam?
Assessed in the AP Calculus BC exam only. You may be required to apply this technique with or without technology (Suggested Skill 1.E). Questions will involve recognizing when a rational function can be decomposed into linear, nonrepeating factors and correctly applying basic integration techniques to the resulting terms.
How do I know I have mastered Integrating Using Linear Partial Fractions?
Check you can do each of these: determine indefinite and evaluate definite integrals for integrands requiring integration by linear partial fractions; decompose rational functions into sums of ratios of linear, nonrepeating factors to apply basic integration techniques.
Where does Integrating Using Linear Partial Fractions fit in AP Calculus BC?
Integrating Using Linear Partial Fractions is topic 6.12 in Unit 6: Integration and Accumulation of Change of AP Calculus BC.
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