Problem strings and using the chain rule with functions defined as integrals

In Maths 1A here at the 最新糖心Vlog of Adelaide, they learn that聽says that, given a function of x defined as the integral of an original function from a constant to x, when you differentiate it you get the original function back again. In short, differentiation undoes integration. And then they get questions on their assignments and they don't know what to do. They always say something like "I would know what to do if that was an x, but it's not just an x, so I don't know what to do".

Tagged in Being a good teacher, How people learn Or dont, Thoughts about maths thinking