What does $\int_{-\infty}^{\infty}\sum_{i=0}^{\infty}\frac{x^i}{i!}dx$mean?

Question

I was reading a research paper and I came across this sentence which I didn't really understand.
We first cast Eq.1 into its standard form: $$\int_{-\infty}^{\infty}\sum_{i=0}^{\infty}\frac{x^i}{i!}dx$$ $$T^2-944T+155184-h=0$$ Eq. 1 is stated at the beginning of the paper and is the following: $$h(T)=520(212-T)+{(212+T)}^2$$ What are the integral and sums supposed to mean and/or refer to?

Answer 1

I don't know the context, but $$\sum_{i=0}^{\infty} \frac{x^i}{i!} = e^x$$ because the sum is the Taylor series of $e^x$.

If this is the case, the integral has a more clear meaning.