Integral 指令
来自GeoGebra Manual
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- Integral[ <Function> ]
- Integral[ <Function>, <Start x-Value>, <End x-Value> ]
- Integral[ <Function>, <Start x-Value>, <End x-Value>, < Boolean Evaluate> ]
CAS 视窗
- Integral[ <Function> ]
- Integral[ <Function>, <Start x-Value>, <End x-Value> ]
- Integral[ <Function>, <Start x-Value>, <End x-Value>, < Boolean Evaluate> ]
- Integral[Function]
- Yields the indefinite integral for the given function.
- 范例:
Integral[x³]
yields x⁴ / 4 . - Integral[ <Function>, <Variable> ]
- Returns the partial integral of the function with respect to the variable.
- 范例:
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].
- 备注: 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.
- 范例:
Integral[cos(x)]
returns sin(x)+c1. - Integral[Function f, Variable t]
- Indefinite integral with respect to variable t.
- 范例:
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].
- 范例:
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.
- 范例:
Integral[cos(t), t, a, b]
returns sin(b) - sin(a).