Is it possible to detailed working of problem from Mathematica

I am interested in finding out if there is a CAS that can take a problem (integral, derivative, etc) and provide lots of intermediate working detail as opposed to just an answer to the problem.

Dear John,

do you mean something like this?

Within Mathematica this might work:

{WolframAlpha[
  "integrate sin(x)cos(x)^2", {{"IndefiniteIntegral", 1}, "Content"}, 
  PodStates -> {"IndefiniteIntegral__Step-by-step solution"}], 
 WolframAlpha[
  "integrate sin(x)cos(x)^2", {{"IndefiniteIntegral", 2}, "Content"}, 
  PodStates -> {"IndefiniteIntegral__Step-by-step solution"}]}

Best wishes,
Marco

Here is the official link to Step-by-Step Solutions: https://www.wolframalpha.com/pro/step-by-step-math-solver.html

There is a problem that “very well done math” isn’t necessarily cheap. Some equations are confidential and or under patent. Some things involve long libraries of computer programming that aren’t very readable. If you already knew the method you’d know what it’s doing: on the other hand the computer code isn’t in a presentable form.

(equations you can learn from free books, after all)

I’m trying to tell you I’m a Mathematica fan, it is a great environment, and that finding an environment which “posts al lthe math it’s doing when asked” is not necessarily what you should most look for. We all wish for that but it’s not presently what you should most wish for.