Integral Command
From GeoGebra Manual
Revision as of 10:37, 7 October 2011 by Christina.biermair (talk | contribs)
- 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 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 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.
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]
- Indefinite integral with respect to 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 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]
- Definite integral from a to b with respect to variable t.
- Example:
Integral[cos(t), t, a, b]
returns sin(b) - sin(a).