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    imane16's Avatar
    imane16 Posts: 9, Reputation: 1
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    #1

    Oct 30, 2008, 03:18 PM
    Rule to approximate the area under a curve?
    Consider the function g(x) = x^2 +3
    There is a diagram and the area under the curve from x=0 to x=1 is approximated by the sum of the area of the two trapeziums.
    How do I find this approximation?
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #2

    Oct 31, 2008, 01:51 AM

    Do you have a diagram, at least in your mind? So, if you need two trapeziums, take two trapeziums standing vertically. Both will have a base of 0.5 but different heights.

    You know the formula for the area of a trapezium, don't you?

    Area of Trapezium = 1/2 x (sum of parallel sides) x perpendicular height

    here, the 'height' will be the base. And the slant at the top of the trapezium should be as close as possible to the curve.

    Hope it helped!:)
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