Definition: A angle .

Attach:angle1.png Δ

Integral[ <Function> ]   (Nov2009. Works on all polynomials, standard functions,... else is undefined.)
Integral[ <Function>, <Start x-Value>, <End x-Value> ]
Integral[ <Function>, <Function>, <Start x-Value>, <End x-Value> ]

Integral[ <Function> ]
Yields the indefinite integral for the given function (if it "knows" it; otherwise undefined).
Integral[ <Function>, <Start x-Value>, <End x-Value> ]
Returns the definite integral of the function in the interval [a,b].
Note: This command also draws the area between the function graph of f and the x-axis.
Defining g(x)=Integral[f(x),a,b] will give 2 objects!
  1. a function g(x)=indefinite integral of f(x) and
  2. a number = value of the definite integral in the interval [a,b]
the function will be defined only if GeoGebra "knows" the integral, but the number will always be defined.
Integral[ <Function>, <Function>, <Start x-Value>, <End x-Value> ]
Yields the definite integral of the difference f(x) - g(x) in the interval [a,b].   
Note: This command also draws the area between the function graphs of f and g.

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Page last modified on November 15, 2009, at 12:10 AM