Difference between revisions of "Integral Command"

Revision as of 18:03, 23 April 2011

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.

In CAS View you can also use following syntaxes

Integral[Function f, Variable t]: Indefinite integral with respect to variable t.
Integral[Function f, Variable t,Number a, Number b]: Definite integral from a to b with respect to variable t.

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 ; 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.
+==CAS specific syntaxes==
+In [[CAS View]] you can also use following syntaxes
+; Integral[Function f, Variable t]
+:Indefinite integral with respect to variable ''t''.
+; Integral[Function f, Variable t,Number a, Number b]
+:Definite integral from ''a'' to ''b'' with respect to variable ''t''.