CASTI-89 TITANIUM · CALC89
arcLen(
Returns the arc length of the graph of an expression between two values of the variable.
Syntax
arcLen(expr, var, lower, upper)
- Group
- Calculus
- Arguments
- Takes the expression, the variable, and the lower and upper limits.
- Availability
- Included
- Menu path
- F3 Calc ▸ arcLen(
Example
| Input | Result |
|---|---|
| arcLen(x^(3/2),x,0,4) | 80·√(10)/27−8/27 |
Typing arcLen(x^(3/2),x,0,4) on the home screen and pressing ENTER returns 80·√(10)/27−8/27.
Keystrokes on the TI-89 Titanium
F3▼×11ENTER
The same key sequence inserts arcLen( in Calc89, and the AI tutor shows it step by step on the on-screen keypad.
Related commands
- d(Differentiates an expression symbolically with respect to a variable.
- deSolve(Solves first and second order ordinary differential equations symbolically.
- dominantTerm(Returns the term of an expression that dominates near a point, for example as the variable tends to infinity.
- euler(Solves a differential equation numerically with Euler's method and returns a matrix with the variable values in the first row and the solution values in the second.
- fMax(Returns the value of the variable at which an expression reaches its maximum, as a condition such as x=1.
- fMin(Returns the value of the variable at which an expression reaches its minimum, as a condition such as x=2.
- impDif(Computes the derivative dy/dx of an equation that defines y implicitly in terms of x.
- limit(Computes the limit of an expression as the variable approaches a point, including ∞.