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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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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