i need to integrate this ecuation e^(-x^2)
You can calculate the Jacobian in Mathematica as
In[12]:= Det @ D[{r Cos[\[Theta]], r Sin[\[Theta]]}, {{r, \[Theta]}}] // Simplify Out[12]= r
since x = r * Cos[theta] and y = r * Sin[theta]
There's a YouTube video on how to do the integral
https://www.youtube.com/watch?v=EPT3XsdTxSQ
Yes,Jim Baldwin. I'm looking for how to solve this integral step by step but i think that is more complicated than i thought. Because i saw that i need to use the "Jacobian" and other kind of rules that i haven't seen yet. (Sorry for my bad english.It is not my first language)
you could use the command integrate with the following:
In[1]:= Integrate[E^-x^2, x] Out[1]= 1/2 Sqrt[\[Pi]] Erf[x]
I hope to serve you for something that information
