Is there any recommend package to compute the integration of following?
Is there any other package other than SymPy.jl that could do symbolic integration?
I read the docs of Reduce.jl but it does not mention symbolic integration.
Better check the tutorials and books section of reduce itself
I only briefly used Reduce, and never the Julia interface package. So I’m afraid I can’t give you more help.
Good luck
Does ModelingToolkit or SymbolicUtilities have symbolic integration, otherwise I would look at SymEngine, then SymPy. (Maxima and Reduce are neat, but they have issues when using Weave, and I don’t think, that LISP is much faster than Python).
SymPy is your best option, although it can have problems. Maxima is good, but better in it’s GUI. Reduce has a lot of problems. Modelling Tookit is the best option for derivatives, but it can’t do integration at this time. I’ll be sure to keep you posted on this. @ChrisRackauckas is in charge of ModelingToolkit, so he can tell you more.
MTK, not yet. I have some cool ideas but right now they are ideas
What is required for integration?
Just someone to do it. There is a symbolic integration now:
https://docs.sciml.ai/SymbolicNumericIntegration/dev/
We should get more standard methods too though.