[xgstation]

AFAIK physicists use it very heavily, but I barely know any mathematicians use it. To me this is a great tool for people who use Math heavily as a tool but not study Math itself.

I use it for symbolic calculation, solve differential equations, and many complicated integrals, and its visualizaion build upon those with easy parametrize support is very nice. Starting from my ungrad sophomore year as physics major, we have courses require us to finish some homeworks with Mathematica.

I can hardly find any other tool to replace mathematica in terms of symbolic calculation and doing complicated integrals (there is a joke by calling mathematica "large-scale integral table")

[slow_typist]

Agree, Wolfram Alpha is heavily used by some students of physics to do their homework. We sometimes joked that was the main purpose of the service.

Mathematicians probably have trust issues and use tools with a code base that is 3 orders of magnitude smaller.