MHB Find Arc Length with TI-Nspire Calculator

AI Thread Summary
To find arc length using the TI Nspire, the relevant formula is the integral of the square root of one plus the derivative squared, expressed as ∫_a^b √(1 + (dy/dx)²) dx. While the TI Nspire has an arc length function, users have noted that it may not be as straightforward as simply inputting the original equation. Some users prefer to utilize the integration function directly for more control. Additionally, there is a suggestion that programming a custom function could simplify the process, allowing users to input limits and functions for arc length calculations. Overall, while the arc length function exists, its utility may vary based on user familiarity and preferences for using built-in features versus custom programming.
ineedhelpnow
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how do i use the nspire to find arc length?
 
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I don't think that there is an arclength function. But the formula for arclength is $\displaystyle \begin{align*} \int_a^b{ \sqrt{ 1 + \left( \frac{\mathrm{d}y}{\mathrm{d}x} \right) ^2 } \, \mathrm{d}x } \end{align*}$, and the TI N Spire does have the ability to solve integrals.
 
what i normally do is use the integration function but i noticed there was something for arc length and i figured it would be much easier (if i knew how to use it) using that instead of inputting the whole thing.

oh that's all it does? i thought all i had to was put in the original equation and it would solve. never mind then. function isn't as useful as i thought. thanks tho.
 
ineedhelpnow said:
what i normally do is use the integration function but i noticed there was something for arc length and i figured it would be much easier (if i knew how to use it) using that instead of inputting the whole thing.

oh that's all it does? i thought all i had to was put in the original equation and it would solve. never mind then. function isn't as useful as i thought. thanks tho.

I don't own one of those, but I own a TI-89 and have owned many TI graphing calculators in the past, and I am certain you could write a program that would prompt you for the limits and the function, and then would compute the arc length and then output the result. I used to love programming my calculators. :D
 
i used to have the ti-89 but i didnt really use it for anything besides simple stuff. once i got the ti-nspire, it was way easier because everything is already formatted. i think the best idea is to just use with the calculator offers me because I am pretty confident ill break it otherwise. :D
 

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