AP Calculus BC · Unit 6: Integration and Accumulation of Change
6.11 Integrating Using Integration by Parts
In short
You are required to use the integration by parts technique to find antiderivatives for both indefinite and definite integrals. You must understand the conceptual basis of the technique, recognizing that an integrand of the form udv is related to a term in the derivative of the product uv.
Last updated
What else do you need to know about Integrating Using Integration by Parts?
This topic is strictly for Calculus BC; it is explicitly excluded from the Calculus AB syllabus.
Can you do these?
- I can determine indefinite integrals and evaluate definite integrals using the integration by parts technique.
How is Integrating Using Integration by Parts tested on the exam?
You will be assessed on your ability to apply integration by parts both with and without technology. A significant part of the assessment involves recognizing which integration technique to use, so you must be able to distinguish integrands that require integration by parts from those requiring u-substitution or partial fractions. Mixed practice is highly recommended to build this recognition skill.
Free practice questions with full explanations, and instant marking of your free-response answers.
Integrating Using Integration by Parts: common questions
What do you need to know about Integrating Using Integration by Parts for AP Calculus BC?
You are required to use the integration by parts technique to find antiderivatives for both indefinite and definite integrals. You must understand the conceptual basis of the technique, recognizing that an integrand of the form udv is related to a term in the derivative of the product uv.
How is Integrating Using Integration by Parts tested on the AP Calculus BC exam?
You will be assessed on your ability to apply integration by parts both with and without technology. A significant part of the assessment involves recognizing which integration technique to use, so you must be able to distinguish integrands that require integration by parts from those requiring u-substitution or partial fractions.
How do I know I have mastered Integrating Using Integration by Parts?
Check you can do each of these: determine indefinite integrals and evaluate definite integrals using the integration by parts technique.
Where does Integrating Using Integration by Parts fit in AP Calculus BC?
Integrating Using Integration by Parts is topic 6.11 in Unit 6: Integration and Accumulation of Change of AP Calculus BC.
Want help mastering this topic?
Work through Integrating Using Integration by Parts one-on-one with an AP Guru tutor.
Book a free demo class