Fundamental Theorems of Calculus
The fundamental theorems of calculus are deep results in analysis that express definite integrals of continuous functions in terms of antiderivatives.
Fundamental theorems of calculus is a college-level concept that would be first encountered in a Calculus I course. It is an Advanced Placement Calculus AB topic and is listed in the California State Standards for Calculus.
|A derivative is the infinitesimal rate of change in a function with respect to one of its parameters.
|An integral is a mathematical object that can be interpreted as an area or a generalization of area. Integrals and derivatives are the fundamental objects of calculus.