This is a example of the use of the Wolfram Language inside Jupyter notebook. This provides an alternative to Mathematica calculations.
$Version
12.2.0 for Linux x86 (64-bit) (January 7, 2021)
Let's compute the integral
$$\int \frac{1}{1 + x^3}\mathrm{d}x\, .$$sol:= Integrate[1/(1 + x^3), x]
sol
And display it in TeX form.
TeXForm[sol]
And make a 3D plot.
fun:= Sin[Sqrt[x^2 + y^2]]/Sqrt[x^2 + y^2]
Plot3D[fun, {x, -5*Pi, 5*Pi}, {y, -5*Pi, 5*Pi},
PlotPoints -> 100, BoxRatios -> {1, 1, 0.2},
PlotRange -> All]
As a final test, let's compute a singular asymptotic expansion for the following differential equation
$$\epsilon y'' + y' + x y = 0\, .$$AsymptoticDSolveValue[{\[Epsilon] y''[x] + y'[x] + x y[x] == 0,
y[0] == 0, y[1] == 1/2}, y[x], x, {\[Epsilon], 0, 1}]
Plot[Evaluate[Table[%, {\[Epsilon], {1/30, 1/10, 1/5}}]], {x, 0, 1}]