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power rule
[power rule|power rule] The power rule is a theorem that applies to integrals when n is not equal to -1.
Definition
power rule The power rule is a theorem that applies to integrals when n is not equal to -1. It states that if k is a negative integer, then the extended power rule provides a method for evaluating indefinite integrals.
Effects
power rule applies to power functions and their compositions. It leads to the derivative of a power function using the chain rule, resulting in h(x) = n(g(x))^{n-1} * g'(x).
Examples
power rule The power rule for integrals applies when n ≠ -1, as shown by frtdea® 40 n+1 > which comes directly from ait "\ = ae: 4(an a eas a This fact is known as the power rule for integrals.