# Definite integral of derivative of function

If I have the definite integral of the derivative of a function, is it the same as having the derivative of the definite integral of a function?

For the latter, it would be the derivative of the upper bound*the inside function at that upper bound.

But if the $$d/dx$$ is inside the integral symbol, is it the same process? I would assume it would be since moving terms in or out of the integral is flexible

• Do you know the Fundamental Theorem of Calculus? – Viktor Glombik Dec 16 '18 at 15:21