Difference between revisions of "IntegralBetween Command"

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<noinclude>{{Manual Page|version=4.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>
 
<noinclude>{{Manual Page|version=4.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>
 
{{command|function}}
 
{{command|function}}
; IntegralBetween[Function f, Function g, Number a, Number b]: Returns the definite integral of the difference ''f(x) ‐ g(x)'' in the interval [''a, b''].
+
; IntegralBetween[Function f, Function g, Number a, Number b]
 +
: Returns the definite integral of the difference ''f(x) ‐ g(x)'' in the interval [''a, b''].
 
: {{Note| This command also shades the area between the function graphs of ''f'' and ''g''.}}
 
: {{Note| This command also shades the area between the function graphs of ''f'' and ''g''.}}
 
+
; IntegralBetween[Function f, Function g, Number a, Number b, Boolean Evaluate]
; IntegralBetween[Function f, Function g, Number a, Number b, Boolean Evaluate]: Returns the definite integral of the difference ''f(x) ‐ g(x)'' in the interval [''a, b''] and shadows the related area when ''Evaluate = true''.  In case ''Evaluate = false'' the related area is shaded but the integral value is not calculated.
+
: Returns the definite integral of the difference ''f(x) ‐ g(x)'' in the interval [''a, b''] and shadows the related area when ''Evaluate = true''.  In case ''Evaluate = false'' the related area is shaded but the integral value is not calculated.
 
==CAS Syntax==
 
==CAS Syntax==
 +
;IntegralBetween[ Function f, Function g, Number a, Number b]
 +
: Returns the definite integral of the difference ''f(x) ‐ g(x)'' in the interval [''a, b''].
 +
;IntegralBetween[ Function f, Function g, Variable t, Number a, Number b ]
 +
: Returns the definite integral of the difference ''f(x) ‐ g(x)'' in the interval [''a, b''] with respect to the variable t.

Revision as of 11:32, 9 August 2011


IntegralBetween[Function f, Function g, Number a, Number b]
Returns the definite integral of the difference f(x) ‐ g(x) in the interval [a, b].
Note: This command also shades the area between the function graphs of f and g.
IntegralBetween[Function f, Function g, Number a, Number b, Boolean Evaluate]
Returns the definite integral of the difference f(x) ‐ g(x) in the interval [a, b] and shadows the related area when Evaluate = true. In case Evaluate = false the related area is shaded but the integral value is not calculated.

CAS Syntax

IntegralBetween[ Function f, Function g, Number a, Number b]
Returns the definite integral of the difference f(x) ‐ g(x) in the interval [a, b].
IntegralBetween[ Function f, Function g, Variable t, Number a, Number b ]
Returns the definite integral of the difference f(x) ‐ g(x) in the interval [a, b] with respect to the variable t.
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