Calculus!

[r1400sch]

Are there any free applications that can calculate derivatives and integrals in algebraic form?
I'm looking for one where i could enter something like f(2x)dx and have it spit out x^2+c for me.
Also, I know I can get numerical values from Grapher, but can Grapher integrate/differentiate algebraically?
If there's a widget to do any of this too, that'd be sweet!

Thanks!

 

[AussieSusan]

Are there any free applications that can calculate derivatives and integrals in algebraic form?
I'm looking for one where i could enter something like f(2x)dx and have it spit out x^2+c for me.
Also, I know I can get numerical values from Grapher, but can Grapher integrate/differentiate algebraically?
If there's a widget to do any of this too, that'd be sweet!

Thanks!

Axiom comes to mind immediately. Also have a look on the Internet for "OS X" and "symbolic integration" (or more generally for Computer Algebra Systems (CAS)) - there are a number of then around.

Susan