Difference between revisions of "NIntegral Command"
From GeoGebra Manual
(added NIntegral( <Function>, <Start x-Value>, <Start y-Value>, <End x-Value> )) |
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;NIntegral( <Function>, <Start x-Value>, <Start y-Value>, <End x-Value> ) | ;NIntegral( <Function>, <Start x-Value>, <Start y-Value>, <End x-Value> ) | ||
| − | :Computes (numerically) the | + | :Computes (numerically) the indefinite integral of the given function, and plots the graph of that function through (''Start x-Value'', ''Start y-Value''), with end point at (''End x-Value''). |
| − | :{{example| 1=<code><nowiki>NIntegral(ℯ^(x), 0, 1, 2)</nowiki></code>.}} | + | :{{example| 1=<code><nowiki>NIntegral(ℯ^(x+1), 0, 1, 2)</nowiki></code> plots the graph of <math>y=e^{x+1}+c</math> in the interval [0,2]. The value of ''c'' is defined by the initial condition (start x-Value, start y-Value)=(0,1).}} |
{{hint|1=In the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] the following syntax can also be used: | {{hint|1=In the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] the following syntax can also be used: | ||
Revision as of 13:15, 18 August 2022
- NIntegral( <Function>, <Start x-Value>, <End x-Value> )
- Computes (numerically) the definite integral \int_a^bf(x)\mathrm{d}x of the given function f, from a (Start x-Value) to b (End x-Value).
- Example:
NIntegral(ℯ^(-x^2), 0, 1)yields 0.75.
- NIntegral( <Function>, <Start x-Value>, <Start y-Value>, <End x-Value> )
- Computes (numerically) the indefinite integral of the given function, and plots the graph of that function through (Start x-Value, Start y-Value), with end point at (End x-Value).
- Example:
NIntegral(ℯ^(x+1), 0, 1, 2)plots the graph of y=e^{x+1}+c in the interval [0,2]. The value of c is defined by the initial condition (start x-Value, start y-Value)=(0,1).
Hint: In the 
CAS View the following syntax can also be used:
- NIntegral( <Function>, <Variable>, <Start Value>, <End Value> )
- Computes (numerically) the definite integral \int_a^bf(t)\mathrm{d}x of the given function f, from a (Start value) to b (End value), with respect to the given variable.
- Example:
NIntegral(ℯ^(-a^2), a, 0, 1)yields 0.75.
