Fundamental Theorems of Calculus
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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.
Prerequisites
| Derivative: | A derivative is the infinitesimal rate of change in a function with respect to one of its parameters. |
| Integral: | 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. |