The left hand rule is an approximate method for finding the area under the curve

f(x) between the limits

x=a and

x = b which uses the formula:

\qquad \displaystyle \int_a^b f(x) \, dx = h(f(x_0) + f(x_1) + ... + f(x_{n-1}))
where

x_0, x_1,... x_{n-1} \, are the values of

x at the left hand end of

n strips, each of width

h
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## Glossary

### rule

A method for connecting one value with another.

### union

The union of two sets A and B is the set containing all the elements of A and B.

**Full Glossary List**

## This question appears in the following syllabi:

Syllabus | Module | Section | Topic | Exam Year |
---|

AP Calculus AB (USA) | 4 | Integration | Approximate integration | - |

AP Calculus BC (USA) | 4 | Integration | Approximate integration | - |

Methods (UK) | M9 | Integration | Approximate integration | - |

OCR A-Level (UK - Pre-2017) | FP2 | Integration | Approximate integration | - |

Scottish Advanced Highers | M1 | Integration | Approximate integration | - |

Scottish (Highers + Advanced) | AM1 | Integration | Approximate integration | - |

Universal (all site questions) | I | Integration | Approximate integration | - |

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