The question is... do you?

1.) A calculator can't help you differentiate an undifferentiable function. God can't help you.
Exercise 1: What is the definition of a differentiable function?
Exercise 2: Using your calculator, find the derivative of a Weierstrass function.

2.) Even if you can't express an integral in terms of the elementary functions, you can still answer a lot of questions about it.
Exercise 3: Calculate the integral of e^x/x from 0 to 1 using only a pencil and paper. Spoilers below.

Checking your answer is self-destructive. Take Exercise 3, for example. If you know a posteriori that e^x/x from 0 to 1 is equal to negative infinity, the remainder of the solution is trivial. You didn't use the calculator to check your answer, you used it to solve the problem.

I'll be the first one to admit that it's nice to have a computer to obliterate a matrix, but any problem you encounter in a lower-division math course is going to be so trivial that it's not even worth the effort of typing it in. Even the hardest arithmetic you'll see is two-digit multiplication and the prime factorization of small integers.

This is the sort of post that makes Massassi always worth coming to.

And I'm not even going to pretend that I understood a thing.

I can't wait to take Calculus!

Not like the TI-89. I don't know if they changed the OS recently for the 83s, but the TI-89s could store up to 99 operations in its history, and you could easily scroll up, select numbers, etc. using the arrow keys. Not so with the TI-83, TI-86 (the one I had before the 89), and the 81.

I love doing this with my Ti-83:
Press Sin, Tan, or cos many, many times
press 9
Press enter
See how long you can make it calculate, I froze mine for a minute thirty once.

I guess that means the ti83 uses a taylor series instead of a lookup table

Actually what I used to do in high school was do that, but press it for ages, and then hit clear. It won't just blank out, it's like it backspaces everything as fast as it can. Think super-fast matrix code