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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:

SyllabusModuleSectionTopicExam Year
Scottish Advanced HighersM1IntegrationApproximate integration-
AP Calculus AB (USA)4IntegrationApproximate integration-
AP Calculus BC (USA)4IntegrationApproximate integration-
Methods (UK)M9IntegrationApproximate integration-
OCR A-Level (UK - Pre-2017)FP2IntegrationApproximate integration-
Scottish (Highers + Advanced)AM1IntegrationApproximate integration-
Universal (all site questions)IIntegrationApproximate integration-