Difference between revisions of "LowerSum Command"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>
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<noinclude>{{Manual Page|version=5}}</noinclude>{{command|function}}
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;LowerSum( <Function>, <Start x-Value>, <End x-Value>, <Number of Rectangles> )
;LowerSum[ <Function>, <Number a>, <Number b>, <Number n> ]
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: Calculates the ''lower sum'' of the given function on the interval [''Start x-Value, End x-Value''], using ''n'' rectangles.
: Calculates the ''lower sum'' of the given function on the interval [''a, b''], using ''n'' rectangles.
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:{{example|1=<code><nowiki>LowerSum(x^2, -2, 4, 6)</nowiki></code> yields ''15''.}}
 
:{{Note|1=<br>
 
:{{Note|1=<br>
 
:*This command draws the rectangles for the lower sum as well.<br>
 
:*This command draws the rectangles for the lower sum as well.<br>
:*See also the commands: [[UpperSum Command|UpperSum]], [[LeftSum Command|LeftSum]], [[RectangleSum Command|RectangleSum]], and [[TrapezoidalSum Command|TrapezoidalSum]] }}
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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: [[UpperSum Command|UpperSum]], [[LeftSum Command|LeftSum]], [[RectangleSum Command|RectangleSum]], and [[TrapezoidalSum Command|TrapezoidalSum]]. }}

Latest revision as of 14:25, 17 November 2017


LowerSum( <Function>, <Start x-Value>, <End x-Value>, <Number of Rectangles> )
Calculates the lower sum of the given function on the interval [Start x-Value, End x-Value], using n rectangles.
Example: LowerSum(x^2, -2, 4, 6) yields 15.
Note:
  • This command draws the rectangles for the lower 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: UpperSum, LeftSum, RectangleSum, and TrapezoidalSum.
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