OCR•A-Level•Mathematics
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Integration
Integration techniques, definite integrals, areas, and differential equations
Practice 32 subtopics in Integration. All questions match the OCR A-Level specification.
About Integration
Integration is a key topic in the OCR A-Level Mathematicsspecification. This topic covers integration techniques, definite integrals, areas, and differential equations.
Master all 32 subtopics below with unlimited AI-generated questions. Each subtopic page includes sample questions and the ability to generate unlimited practice questions with detailed solutions.
All Subtopics (32)
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Integration as reverse of differentiationIntegrating xⁿ (n ≠ -1)Constant of integrationFinding functions from derivativesIntegrating eᵏˣIntegrating 1/xIntegrating sin kx, cos kxIntegrating sec²kxIntegrating cosec²x, sec x tan x, cosec x cot xIntegrating f(ax + b) by recognitionReverse chain ruleUsing trigonometric identitiesIntegration by substitutionIntegration by partsIntegrating using partial fractionsDefinite integrationEvaluating definite integralsProperties of definite integralsArea under a curveArea between curve and x-axisArea between curve and y-axisArea between two curvesAreas with negative regionsAreas with parametric curvesTrapezium ruleImproving accuracy with more stripsUnderstanding over/underestimatesSolving dy/dx = f(x)Separation of variablesGeneral and particular solutionsUsing initial/boundary conditionsModelling with differential equations
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