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    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.'
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    (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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