Difference between revisions of "NIntegral Command"
From GeoGebra Manual
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− | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|geogebra}} |
− | {{command| | + | ;NIntegral( <Function>, <Start x-Value>, <End x-Value> ) |
− | ;NIntegral | + | :Computes (numerically) the definite integral <math>\int_a^bf(x)\mathrm{d}x</math> of the given function ''f'', from ''a'' (''Start x-Value'') to ''b'' (''End x-Value''). |
− | :Computes the definite integral <math>\int_a^bf(x)\mathrm{d}x</math> | + | :{{example| 1=<code><nowiki>NIntegral(ℯ^(-x^2), 0, 1)</nowiki></code> yields ''0.75''.}} |
− | :{{example| 1= | + | |
− | ;NIntegral | + | ;NIntegral( <Function>, <Start x-Value>, <Start y-Value>, <End x-Value> ) |
− | :Computes the definite integral <math>\int_a^bf(t)\mathrm{d} | + | :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= | + | :{{example| 1=<code><nowiki>NIntegral(sin(x)/x, π, 1, 2π)</nowiki></code> plots the graph of the indefinite integral <math>y=F(x)+c</math> of the given function in the interval [π, 2π]. The value of <math>c</math> is defined by the initial condition (start x-Value, start y-Value)=(π, 1).}} |
+ | |||
+ | {{hint|1=In the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] the following syntax can also be used: | ||
+ | <br> | ||
+ | ;NIntegral( <Function>, <Variable>, <Start Value>, <End Value> ) | ||
+ | :Computes (numerically) the definite integral <math>\int_a^bf(t)\mathrm{d}x</math> of the given function ''f'', from ''a'' (''Start value'') to ''b'' (''End value''), with respect to the given variable. | ||
+ | :{{example| 1=<code><nowiki>NIntegral(ℯ^(-a^2), a, 0, 1)</nowiki></code> yields ''0.75''.}} | ||
+ | }} |
Latest revision as of 14:54, 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(sin(x)/x, π, 1, 2π)
plots the graph of the indefinite integral y=F(x)+c of the given function in the interval [π, 2π]. The value of c is defined by the initial condition (start x-Value, start y-Value)=(π, 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.