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- Rectangle_method abstract "In mathematics, specifically in integral calculus, the rectangle method (also called the midpoint or mid-ordinate rule) computes an approximation to a definite integral, made by finding the area of a collection of rectangles whose heights are determined by the values of the function.Specifically, the interval over which the function is to be integrated is divided into equal subintervals of length . The rectangles are then drawn so that either their left or right corners, or the middle of their top line lies on the graph of the function, with bases running along the -axis. The approximation to the integral is then calculated by adding up the areas (base multiplied by height) of the rectangles, giving the formula:where and .The formula for above gives for the Top-left corner approximation. As N gets larger, this approximation gets more accurate. In fact, this computation is the spirit of the definition of the Riemann integral and the limit of this approximation as is defined and equal to the integral of on if this Riemann integral is defined. Note that this is true regardless of which is used, however the midpoint approximation tends to be more accurate for finite .".
- Rectangle_method thumbnail MidRiemann.png?width=300.
- Rectangle_method wikiPageID "1007356".
- Rectangle_method wikiPageRevisionID "604503742".
- Rectangle_method hasPhotoCollection Rectangle_method.
- Rectangle_method subject Category:Integral_calculus.
- Rectangle_method subject Category:Numerical_integration_(quadrature).
- Rectangle_method comment "In mathematics, specifically in integral calculus, the rectangle method (also called the midpoint or mid-ordinate rule) computes an approximation to a definite integral, made by finding the area of a collection of rectangles whose heights are determined by the values of the function.Specifically, the interval over which the function is to be integrated is divided into equal subintervals of length .".
- Rectangle_method label "Mittelpunktsregel".
- Rectangle_method label "Méthode du point médian".
- Rectangle_method label "Rectangle method".
- Rectangle_method label "Regola del rettangolo".
- Rectangle_method label "Метод прямоугольников".
- Rectangle_method label "طريقة المستطيل".
- Rectangle_method label "矩形法".
- Rectangle_method sameAs Mittelpunktsregel.
- Rectangle_method sameAs Méthode_du_point_médian.
- Rectangle_method sameAs Regola_del_rettangolo.
- Rectangle_method sameAs m.03ypv_.
- Rectangle_method sameAs Q645754.
- Rectangle_method sameAs Q645754.
- Rectangle_method wasDerivedFrom Rectangle_method?oldid=604503742.
- Rectangle_method depiction MidRiemann.png.
- Rectangle_method isPrimaryTopicOf Rectangle_method.
