Difference between revisions of "TrapezoidalSum Command"

Latest revision as of 15:57, 17 November 2017

This command differs among variants of English:

TrapezoidalSum( <Function>, <Start x-Value>, <End x-Value>, <Number of Trapezoids> ): Calculates the trapezoidal sum of the function in the interval [Start x-Value, End x-Value] using n trapezoids.; Example: TrapezoidalSum(x^2, -2, 3, 5) yields 12.5.

Notes:

This command draws the trapezoids of the trapezoidal sum as well.
This command is designed as a visual aid so won't give accurate answers if the number of rectangles is too large.
See also the commands: LowerSum, LeftSum, RectangleSum and UpperSum.

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-<noinclude>{{Manual Page|version=4.2}}</noinclude>
+<noinclude>{{Manual Page|version=5.0}}</noinclude>
-{{command|function}}
+{{command|function|US_version=TrapezoidalSum|non-US_version=TrapeziumSum}}
-{{Alternate Language|region=US|page_type=Command |US_version=TrapezoidalSum|UK_version=TrapeziumSum|Aus_version=TrapeziumSum}}
-;TrapezoidalSum[ <Function>, <Number a>, <Number b>, <Number n> ]:Calculates the trapezoidal sum of the function in the interval [''a, b''] using ''n'' trapezoids.
+;TrapezoidalSum( <Function>, <Start x-Value>, <End x-Value>, <Number of Trapezoids> )
+:Calculates the trapezoidal sum of the function in the interval [''Start x-Value, End x-Value''] using ''n'' trapezoids.
+:{{example|1=<code><nowiki>TrapezoidalSum(x^2, -2, 3, 5)</nowiki></code> yields ''12.5''.}}
 :{{Notes|1=<br>
 :*This command draws the trapezoids of the trapezoidal sum as well.
-:*See also the commands: [[LowerSum Command|LowerSum]], [[LeftSum Command|LeftSum]], [[RectangleSum Command|RectangleSum]] and [[UpperSum Command|UpperSum]]}}
+:*This command is designed as a visual aid so won't give accurate answers if the number of rectangles is too large.
+:*See also the commands: [[LowerSum Command|LowerSum]], [[LeftSum Command|LeftSum]], [[RectangleSum Command|RectangleSum]] and [[UpperSum Command|UpperSum]].}}