The time evolution of integrals generalizes this statement in speci c contexts, and the gradient and divergence theorems generalize this statement.   
The Lebesgue di erentiation theorem is a generalization of this statement, al- though in order for the converse to be satis ed one must use Henstock-Kurzweil integration. The time evolution of integrals generalizes this statement in speci c contexts, and the gradient and divergence theorems generalize this statement.   Stokes's theorem is the multidimensional generalization of this statement which formally establishes that antidi erentiation and integration are the same thing. For ten points, identify this central result which states that the derivative of the integral of a function is that function.
The Lebesgue di erentiation theorem is a generalization of this statement, al- though in order for the converse to be satis ed one must use Henstock-Kurzweil integration.
fundamental theorem of calculus [prompt on fundamental theorem, do not accept  fundamental theorem of [anything else] ]