Difference between revisions of "Integral Command"

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==Definite integral==
 
==Definite integral==
 
; Integral[Function, Number a, Number b]: Returns the definite integral of the function in the interval [''a , b''].
 
; Integral[Function, Number a, Number b]: Returns the definite integral of the function in the interval [''a , b''].
: {{Note| This command also draws the area between the function graph of ''f'' and the ''x''-axis.}}
+
: {{Note| This command also shadows the area between the function graph of ''f'' and the ''x''-axis.}}
  
; Integral[Function, Number a, Number b, Boolean Evaluate]: -
+
; Integral[Function, Number a, Number b, Boolean Evaluate]:  
{{description}}
+
: Returns the definite integral of the function 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.
  
; Integral[Function f, Function g, Number a, Number b]: Yields the definite integral of the difference ''f(x) ‐ g(x)'' in the interval [''a, b''].
+
; Integral[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 draws 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''.}}
 +
 
 +
; Integral[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.
  
; Integral[Function f, Function g, Number a, Number b, Boolean Evaluate]: -
 
{{description}}
 
  
 
==Indefinite integral==
 
==Indefinite integral==
 
;Integral[Function]: Yields the indefinite integral for the given function.
 
;Integral[Function]: Yields the indefinite integral for the given function.

Revision as of 12:47, 8 April 2011


Definite integral

Integral[Function, Number a, Number b]
Returns the definite integral of the function in the interval [a , b].
Note: This command also shadows the area between the function graph of f and the x-axis.
Integral[Function, Number a, Number b, Boolean Evaluate]
Returns the definite integral of the function 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.
Integral[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.
Integral[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.


Indefinite integral

Integral[Function]
Yields the indefinite integral for the given function.
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