Difference between revisions of "TrapezoidalSum Command"

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

Latest revision as of 15:57, 17 November 2017



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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