Second Fundamental Theorem of Calculus
This original textbook reading covers part of the AP topic. Follow the AP course outline for complete topic instruction and practice.
- Second Fundamental Theorem of Calculus
The theorem that states that the area under the curve of a function can be evaluated using the anti-derivative of the function.
- Related Glossary Terms
- Index
Glossary and deeper reading · 1 refreshers
These editorial refreshers supplement the reading. Definitions and examples are added guidance; original source wording and recorded answers remain in their original context.
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Fundamental Theorem of Calculus
The Fundamental Theorem of Calculus connects accumulation with differentiation. For a continuous integrand, differentiating its accumulation function returns the integrand. It also allows a definite integral of a continuous function to be evaluated by the endpoint change of an antiderivative. For example, the integral of 2x from 1 to 3 equals 3²−1²=8.