Anti-Power Rule
This original textbook reading covers part of the AP topic. Follow the AP course outline for complete topic instruction and practice.
- Anti-Power Rule
It is similar to the power rule applied to integrals, it states
- Related Glossary Terms
Anti-derivative, Definite integral, Indefinite integral, Power rule
- 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.
-
Antiderivative power rule
The antiderivative power rule integrates xⁿ to xⁿ⁺¹/(n+1)+C when n≠−1 on an interval where the powers are defined. The exponent increases by one, and the result is divided by that new exponent. For example, the indefinite integral of x² is x³/3+C. The exceptional exponent −1 instead gives ln|x|+C on intervals excluding zero.