| Property | Value |
|---|---|
| Hex Value | $24 |
| Categories | |
| Localizations |
|
fnInt(
Overview
Returns the function integral of expression with respect to variable, between lower and upper, with specified tolerance.
Availability: Token available everywhere.
Syntax
fnInt(expression,variable,lower,upper[,tolerance])
Arguments
| Name | Type | Optional |
|---|---|---|
| expression | expression | |
| variable | ||
| lower | ||
| upper | ||
| tolerance | Yes |
Location
math, MATH, 9:fnInt(
Description
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 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
- ERR:DOMAIN is thrown if tol is 0.
- ERR:ILLEGAL NEST is thrown if fnInt( occurs in the expression to be integrated.
- ERR:TOL NOT MET may occur if the tolerance is too small.
Related Commands
Source: parts of this page were written by the following TI|BD contributors: DarkerLine, GoVegan, Myles_Zadok.
History
| Calculator | OS Version | Description |
|---|---|---|
| TI-82 | 1.0 | Added |
Created: February 23, 2023 23:15:01