lesson
Integration by Parts: Standard Formula and Product Selection
Apply the integration by parts formula integral u (dv/dx) dx = uv - integral v (du/dx) dx to products of polynomials and transcendental functions.
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Advanced Integration Techniques and Area Applications
8 lessons
Goal
Master algebraic substitution, integration by parts, partial fractions, and their application to finding areas under Cartesian and parametric curves.
8 lessons
0 of 8 done
- Standard Algebraic Integrals and the Reverse Chain RuleUp next
- Integration by Substitution: Indefinite IntegralsNot started yet
- Integration by Substitution: Transforming Definite LimitsNot started yet
- Integration by Parts: Standard Formula and Product SelectionYou are here
- Repeated Integration by Parts and Cyclic IntegralsNot started yet
- Integrating Rational Functions Using Partial FractionsNot started yet
- Calculating Areas Under and Between CurvesNot started yet
- Finding Areas Bounded by Parametric CurvesNot started yet
Learning standards covered
OT1.1General Certificate of Education Advanced Level (UK A-Level) · Maths · 11th Grade[Construct and present mathematical arguments through appropriate use of diagrams; sketching graphs; logical deduction; precise statements involving correct use of symbols and connecting language, including: constant, coefficient, expression, equation, function, identity, index, term, variable]
Open Global Standard:OGM.12.NUM.1OGM.13.PRF.1
OT2.1General Certificate of Education Advanced Level (UK A-Level) · Maths · 11th Grade[Recognise the underlying mathematical structure in a situation and simplify and abstract appropriately to enable problems to be solved]
Open Global Standard:OGM.12.PRC.1OGM.13.PRF.2
OGM.12.NUM.1OGM.13.PRF.1OGM.12.PRC.1OGM.13.PRF.2