Integration by parts
What Integration by parts means in Mathematics A-Level, as defined for AQA, Pearson Edexcel, WJEC.
Definitions of Integration by parts
Exam boards and our study guides word this term in slightly different ways. Learn the version your board uses.
Check what you remember
Read the wording for your board, then hide it and explain Integration by parts in your own words. Rough notes are fine. This is a self-check, with no mark or grade.
Reference: AQA
A method that reverses the product rule, including more than one application of the method but excluding reduction formulae.
Reverses the product rule using ∫ u (dv/dx) dx = uv − ∫ v (du/dx) dx, and may need more than one application.
Integrates products of functions using the formula ∫ u (dv/dx) dx = uv − ∫ v (du/dx) dx.
Topics that use Integration by parts
- H: Integration (AQA A-Level)
- Integration (Pearson Edexcel A-Level)
- Integration (A2 Unit 3: Pure Mathematics B) (WJEC A-Level)
Related terms
- Area between curves
- Definite integral
- Integration by substitution
- Antiderivative
- Area under a curve
- Fundamental Theorem of Calculus
- limit of a sum
- separable variables
Using Integration by parts in the exam
Check the command word and mark scheme for your exact question. After comparing your explanation with the reference, use the term in an answer on the linked topic. This practice does not predict an exam mark.
Practise Mathematics questions
Create a free account to answer exam-style questions on this topic and get feedback on your answers.
A week of Premium from your first lesson · Then the free plan continues · No card, no charge