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 | - |