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The following applet approximates the length of the parametric curve defined by x=x(t) and y=y(t) for a \leq t \leq b. Simply enter the functions x=x(t) and y=y(t) and the values a, b (in radians) and 0 \leq n \leq 1,000, the number of subintervals.

Software/Applets used on this page

David Little
This page uses an applet from David Little (Lecturer in the Mathematics Department, Penn State University, USA) and is used with his permission.

This question appears in the following syllabi:

SyllabusModuleSectionTopicExam Year
AP Calculus BC (USA)4IntegrationApplications-
AQA A-Level (UK - Pre-2017)FP2IntegrationApplications-
AQA A2 Further Maths 2017Pure MathsCalculusApplications-
AQA AS/A2 Further Maths 2017Pure MathsCalculusApplications-
Edexcel A-Level (UK - Pre-2017)FP3IntegrationApplications-
Edexcel A2 Further Maths 2017Core Pure MathsFurther CalculusApplications-
Edexcel AS/A2 Further Maths 2017Core Pure MathsFurther CalculusApplications-
Methods (UK)M9IntegrationApplications-
OCR A2 Further Maths 2017Additional PureFurther CalculusApplications-
OCR MEI A2 Further Maths 2017Core Pure BCalculusApplications - Extra-
OCR-MEI A-Level (UK - Pre-2017)FP3IntegrationApplications-
Universal (all site questions)IIntegrationApplications-
WJEC A-Level (Wales)FP3IntegrationApplications-