MathsNet: I - Integration - Left-hand rule

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Page ID: 3805

I | Integration | Approximate integration | «Left-hand rule»

left hand right hand rule

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	-