# [Numerical] Computing a contour of an integral function

 P: 110 Suppose I want to compute all complex points z such that, $$\int_{z^*}^z F(t) dt = 0$$ Here $$z^*$$ is a given constant. In general, the points z which satisfy that relation form a continuous curve beginning from the initial point. What is the best way to tackle this numerically? I'm sure it's a fairly standard numerical problem. Unfortunately, I'm just not sure where to look (in the literature).