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
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:
| Syllabus | Module | Section | Topic | Exam Year |
|---|---|---|---|---|
| AP Calculus BC (USA) | 4 | Integration | Applications | - |
| AQA A-Level (UK - Pre-2017) | FP2 | Integration | Applications | - |
| AQA A2 Further Maths 2017 | Pure Maths | Calculus | Applications | - |
| AQA AS/A2 Further Maths 2017 | Pure Maths | Calculus | Applications | - |
| Edexcel A-Level (UK - Pre-2017) | FP3 | Integration | Applications | - |
| Edexcel A2 Further Maths 2017 | Core Pure Maths | Further Calculus | Applications | - |
| Edexcel AS/A2 Further Maths 2017 | Core Pure Maths | Further Calculus | Applications | - |
| Methods (UK) | M9 | Integration | Applications | - |
| OCR A2 Further Maths 2017 | Additional Pure | Further Calculus | Applications | - |
| OCR MEI A2 Further Maths 2017 | Core Pure B | Calculus | Applications - Extra | - |
| OCR-MEI A-Level (UK - Pre-2017) | FP3 | Integration | Applications | - |
| Universal (all site questions) | I | Integration | Applications | - |
| WJEC A-Level (Wales) | FP3 | Integration | Applications | - |