How to Solve an Integro-differential equation with derivative numerically

How to solve the Integro-differential equation with derivative

[Rik]

Have you read this staff answer? Also, what makes this actually different from your previous question (which has an answer you didn't respond to)?

For future reference: Have a read here (or here for more general advice) and here. It will greatly improve your chances of getting an answer.

[Torsten]

If the integrand depends on x like above, the staff answer is useless.

Unfortunately, the answer provided for the previous question is useless, too.