Week 1 - CDF and Normal Distribution

When I google CDF for normal distribution, I find:
PHI(x) = (1 / srt(2 * pi)) * int from -inf to x of e ** (-(t^2 / 2)) dt.

Why is t the variable here ? And then why not PHI(t) with parameter x ?
Please help me understand. Thanks.

For Phi(x), ‘t’ is the variable of integration from -Inf to x.

image

Thanks a lot!
Do you mean it’s the same as writing: ... int from{t = -inf} to{x} of ... ?

Btw, how can I write nicely rendered mathematical formulae in this forum?

Yes.

I think the forum uses LaTeX math notation, but I’ve never used it. I just grabbed an image off the internet and pasted it in.