Path independence of an integral? I'm studying for a test (that's why I've been asking so much today,) and one of the questions is about saying if an integral is path independent and then solving for it. 
I was reading online about path independence and it's all about vector fields, and I'm very, very lost.
This is the integral
$$\int_{0}^{i} \frac{dz}{1-z^2}$$
So should I find another equation that gives the same result with those boundaries? I honestly just don't know how to approach the problem, any links or topics to read on would be appreciated as well.
Thank you!

There's an easy analytic primitive of $\frac 1 2 \log (1+z) - \frac 1 2 \log (1-z)$ on $\mathbb C \setminus \mathbb R \cup (-1,1)$ if you pick the correct branch of the logarithm. So it's certainly path independent if the path doesn't pass through the wrong parts of $\mathbb R$, i.e. don't pass through $|r|\geq 1$
