Parametric Integration (OCR A Level Maths: Pure)

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Parametric Integration

How does integration work with parametric equations? 

  • Integration is used to find the area under a curve where the curve has been defined by parametric equations
    • x = f(t)
    • y = g(t)

    Notes para_int, AS & A Level Maths revision notes

  • The key point is to ensure the limits of the integral are changed to the parameter

Notes para_area_eg1, AS & A Level Maths revision notes

Notes para_area_eg2, AS & A Level Maths revision notes

Worked example

Example qu_diag, AS & A Level Maths revision notesxample soltn, AS & A Level Maths revision notes

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Paul

Author: Paul

Expertise: Maths

Paul has taught mathematics for 20 years and has been an examiner for Edexcel for over a decade. GCSE, A level, pure, mechanics, statistics, discrete – if it’s in a Maths exam, Paul will know about it. Paul is a passionate fan of clear and colourful notes with fascinating diagrams – one of the many reasons he is excited to be a member of the SME team.