Difference between revisions of "Integral Command"
From GeoGebra Manual
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; Integral[Function, Number a, Number b, Boolean Evaluate]: | ; Integral[Function, Number a, Number b, Boolean Evaluate]: | ||
: Returns the definite integral of the function, with respect to the main variable, 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 function, with respect to the main variable, 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. | ||
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==CAS Syntax== | ==CAS Syntax== |
Revision as of 12:53, 9 July 2012
- Integral[Function]
- Yields the indefinite integral for the given function with respect to the main variable.
- Example:
Integral[x³]
yields x⁴ / 4 .
- Integral[ <Function>, <Variable> ]
- Returns the partial integral of the function with respect to the given variable.
- Example:
Integral[x³+3x y, x]
yields (x² (x² + 6y)) / 4 .
- Integral[Function, Number a, Number b]
- Returns the definite integral of the function, with respect to the main variable, 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, with respect to the main variable, 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
- Integral[ Function f]
- Yields the indefinite integral for the given function with respect to the main variable.
- Example:
Integral[cos(x)]
returns sin(x)+c1.
- Integral[Function f, Variable t]
- Returns the indefinite integral of the function with respect to the given variable t.
- Example:
Integral[cos(a t), t]
returns sin(a t)/a+c2.
- Integral[Function, Number a, Number b]
- Returns the definite integral of the function, with respect to the main variable, in the interval [a , b].
- Example:
Integral[cos(x), a, b]
returns sin(b) - sin(a).
- Integral[Function f, Variable t, Number a, Number b]
- Returns the definite integral in the interval [a , b] with respect to the given variable t.
- Example:
Integral[cos(t), t, a, b]
returns sin(b) - sin(a).