Evaluate a path integral

Hi,

I need to evaluate a path integral of a known function f(x,y,z). The path p(t) is a solution of an ODE.
dp/dt = E(x,y,z)
p(0) = p_0
Here, E(x,y,z) is an electric field solved from a previous equations.
How can I evaluate this path integral with the path defined by a function?

Thanks for your help.