Integral Command
From GeoGebra Manual
Revision as of 10:36, 17 September 2012 by Alexander Hartl (talk | contribs)
- Integral[ <Function> ]
- Gives the indefinite integral for the given function with respect to the main variable.
- Example:
Integral[x^3]yields \frac{x^4}{4}.
- Integral[ <Function>, <Variable> ]
- Gives the partial integral of the function with respect to the given variable.
- Example:
Integral[x^3 + 3 x y, x]yields \frac{x^4 + 6 x^2 y}{4}.
- Integral[ <Function>, <Number a>, <Number b> ]
- Gives 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> ]
- Gives the definite integral of the function, with respect to the main variable, in the interval [a , b] and shadows the related area Evaluate = true. In case Evaluate = false the related area is shaded but the integral value is not calculated.
CAS Syntax
- Integral[ <Function f> ]
- Gives the indefinite integral for the given function with respect to the main variable.
- Example:
Integral[cos(x)]yields sin(x) + c_1.
- Integral[ <Function f>, <Variable t> ]
- Gives the indefinite integral of the function with respect to the given variable t.
- Example:
Integral[cos(a t), t]yields \frac{sin(a t)}{a} + c_1.
- Integral[ <Function>, <Number a>, <Number b> ]
- Gives the definite integral of the function, with respect to the main variable, in the interval [a , b].
- Example:
Integral[cos(x), a, b]yields sin(b) - sin(a).
- Integral[ <Function f>, <Variable t>, <Number a>, <Number b> ]
- Gives the definite integral in the interval [a , b] with respect to the given variable t.
- Example:
Integral[cos(t), t, a, b]yields sin(b) - sin(a).
