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

Software/Applets used on this page

Webcompmath and calculus applets are free, open-source software aimed at supporting the teaching of mathematics.These applets show various types of graph, that can be altered in some way by clicking on the display or by using sliders provided. Zooming in and out may be achieved as follows:
  • buttons may be provided

  • zoom in by clicking the left mouse button

  • zoom in by dragging a out a box with the left mouse button

  • zoom out by shift-clicking the left mouse button

  • drag the display by clicking and dragging with the right mouse button

WebCompMath is a collection of applets written by Thomas S. Downey and based on the original JCM project by Professor David J. Eck (Hobart and William Smith Colleges, Geneva, New York).

� Copyright 2001 David J. Eck

� Copyright 2007 Thomas S. Downey



the study of change; a major branch of mathematics that includes the study of limits, derivatives, rates of change, gradient, integrals, area, summation, and infinite series. Historically, it has been referred to as "the calculus of infinitesimals", or "infinitesimal calculus".
There are widespread applications in science, economics, and engineering.


A diagram showing a relationship between two variables.
The diagram shows a vertical y axis and a horizontal x axis.

Full Glossary List

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-