- #1
Silviu
- 624
- 11
Hello! I started learning about complex analysis and I am a bit confused about integration. I understand that if we take different paths for the same function, the value on the integral is different, depending on the path. But if we use the antiderivative: ##\int_{\gamma}f=F(\gamma(b))-F(\gamma(a))##, where ##\gamma## is the path and a and b are the endpoints. So based on this formula, the value of the integral doesn't depends on the path but just on the endpoints. I am not sure I understand the meaning of this and when can we use this formula, as it gives just a value for all the path, so what do the other paths means? Thank you!