Hint: Use the product rule for differentiation and also use the chain rule for the fundamental theorem of calculus.
I see how to apply the product rule and I can use the fundamental theorem of calculus on one of the terms. The other term becomes . Can it be simplified from there?
I don't think that you can simplify in general any further.
I have to ask about this one myself.
After the product rule I have:
I don't see how you would differentiate the integral in the second term with the FTOC because it is indefinite, the FTOC is always stated in terms of definite integrals as far as I understand it. I guess if say that is always true so I can say my is my and just say
Or maybe I shouldn't ask if it is true, it is just definition of integral? Where does chain rule come in?
For some reason, I thought that the integral had limits that were a function of x.
The post has been edited and I don't know if this was changed or not.