What is the meaning of $c+i\times\infty$ when integrating a complex function

Question

My friend gave me a complex function to plot in MATLAB. The problem is that the integration interval or path (I do not know much about complex analysis so I don't know which is correct here path or interval) is from $c-i\times\infty$ to $c+i\times\infty$. Now what to do with that? I used integral function in MATLAB and instead of $\infty$ I used a number say 10. but I am not sure doing this is correct or not.

Answer 1

These integral bounds just mean $$\lim_{t\to\infty}\int_{c-ti}^{c+ti}f(z)dz$$ so taking some finite $t\in\mathbb{R}$ sufficiently large should give an accurate result.