Integration within a function in the weak form

Question

Hi,

I am wondering is there an easy way to enable a function to be use in the weak formulation to contain an integration?

For example, the function $F(u)$ in the weak form has a variable $u$ that appears as an integration limit....

$$F(u) = \int^{u}_{0} H(u) K(\bar{u}) d\bar{u}$$

where $K(\bar{u})$ is some prescribed expression?

I thought of using numerical integration (e.g. scipy.integrate) to evaluate the integral. Is it possible to do it in FeNiCs?

Thanks!