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# Simpson's Rule Defintion?? watch

1. Is it right to say that:

'Simpson's Rule approximates the area between the graph of the function and x-axis by dividing that area with strips that have parabolic arcs on one side instead of straight lines like in Rectangle Rule and Trapezium Rule'?

and

'The integral of a function is approximately equal to the area between the graph and the x-axis.'
2. (Original post by Alpha-Omega)
Is it right to say that:

'Simpson's Rule approximates the area between the graph of the function and x-axis by dividing that area with strips that have parabolic arcs on one side instead of straight lines like in Rectangle Rule and Trapezium Rule'?

and

'The integral of a function is approximately equal to the area between the graph and the x-axis.'
It's right to say both, but perhaps avoid using the terminology 'dividing', as that might lead to confusion, consider using partition, etc.

And the second part... the integral of a function between said limits IS equal to the area between the curve and the x-axis between same said limits.

Though 'approximately equal' is true for Simpson's Rule.

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Updated: March 30, 2013
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