SymPy is a wrapper to the Python SymPy library for symbolic computation: solve equations (or system of equations), simplify them, find derivates or integrals...
An overview of its capabilities can be found on the following notebook:
Some additional notes to that notebook:
You can plot a function that includes symbols, e.g.:
y=2x in the [0,1] range
For the infinity symbol use either
Inf (eventually with + or -)
Numerical integration of definite integrals (univariate): (QuadGK Package:
While an updated, expanded and revised version of this chapter is available in "Chapter 10 - Mathematical Libraries" of Antonello Lobianco (2019), "Julia Quick Syntax Reference", Apress, this tutorial remains in active development.