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!

Seeing other answers, the follםwing perhaps doesn't grab the OP's intention, but here it is anyway.
Putting $\,z=x+iy\implies\,z^2=x^2-y^2+2xyi\,$ , so along the $\,y$-axis from zero to $\,i\,$ we get:
$$x=0\;,\;\;0\le y\le 1\implies \frac1{1-z^2}=\frac1{1+y^2}\;,\;\;dx=0 \;,\;\;dz=i\,dy\;,\;\ \;\text{so}$$
$$\int\limits_0^i\frac{dz}{1-z^2}=\left.\int\limits_0^1\frac{i\,dy}{1+y^2}= i\arctan y\right|_0^1=\frac\pi 4i$$
