Maintenance script: Automated superscript correction

2016-02-24T22:26:08Z

Automated superscript correction

← Older revision		Revision as of 22:26, 24 February 2016
Line 10:		Line 10:
	}}		}}

	fnInt(''f''(''var''),''var'',''a'',''b''[,''tol'']) computes an approximation to the definite integral of ''f'' with respect to ''var'' from ''a'' to ''b''. ''tol'' controls the accuracy of the integral computed. The default value of ''tol'' is 10^^-5^^. fnInt( returns exact results for functions that are polynomials of small degree.		fnInt(''f''(''var''),''var'',''a'',''b''[,''tol'']) computes an approximation to the definite integral of ''f'' with respect to ''var'' from ''a'' to ''b''. ''tol'' controls the accuracy of the integral computed. The default value of ''tol'' is 10<sup>-5</sup>. fnInt( returns exact results for functions that are polynomials of small degree.

	fnInt( only works for real numbers and expressions. The [http://mathworld.wolfram.com/Gauss-KronrodQuadrature.html Gauss-Kronrod method] is used for approximating the integral.		fnInt( only works for real numbers and expressions. The [http://mathworld.wolfram.com/Gauss-KronrodQuadrature.html Gauss-Kronrod method] is used for approximating the integral.

Maintenance script: Initial automated import

2016-02-24T18:41:21Z

Initial automated import

New page

{{Template:TI-BASIC:Command
|picture=FNINT.GIF
|summary=Approximately computes a definite integral.
|syntax=fnInt(''f''(''var''),''var'',''a'',''b''[,''tol''])
|location=Press
# Press MATH to access the [[TI-BASIC:Math|Math]] menu.
# 9 to select fnInt(, or use arrows.
|compatibility=TI-83/84/+/SE
|size=1 byte
}}

fnInt(''f''(''var''),''var'',''a'',''b''[,''tol'']) computes an approximation to the definite integral of ''f'' with respect to ''var'' from ''a'' to ''b''. ''tol'' controls the accuracy of the integral computed. The default value of ''tol'' is 10^^-5^^. fnInt( returns exact results for functions that are polynomials of small degree.

fnInt( only works for real numbers and expressions. The [http://mathworld.wolfram.com/Gauss-KronrodQuadrature.html Gauss-Kronrod method] is used for approximating the integral.

'''Tip''': Sometimes, to get an answer of acceptable accuracy out of fnInt(, substitution of variables and analytic manipulation may be needed.

fnInt(1/X,X,1,2)
.6931471806
fnInt(ln(X),X,0,1) <a difficult example>
-.999998347
fnInt(ln(X),X,0,1,e-11)
-1

= Error Conditions =

* '''[[TI-BASIC:Errors#domain|ERR:DOMAIN]]''' is thrown if ''tol'' is 0.
* '''[[TI-BASIC:Errors#illegalnest|ERR:ILLEGAL NEST]]''' is thrown if fnInt( occurs in the expression to be integrated.
* '''[[TI-BASIC:Errors#tolnotmet|ERR:TOL NOT MET]]''' may occur if the tolerance is too small.

= Related Commands =

* [[TI-BASIC:Fmin|FMin(]]
* [[TI-BASIC:Fmax|FMax(]]
* [[TI-BASIC:Nderiv|NDeriv(]][[Category:TI-BASIC]]
[[Category:TIBD]]

TI-BASIC:Fnint - Revision history

Maintenance script: Automated superscript correction

Maintenance script: Initial automated import