MathLivePower rule for integration
Gives the antiderivative of a power of x by raising the exponent by one and dividing by the new exponent. It is used for integrating polynomials and other power functions, except when the exponent is -1.
\int x^{n}\,dx=\frac{x^{n+1}}{n+1}+C,\quad n\neq -1What the symbols mean
| the variable of integration | |
| a real constant exponent, not equal to -1 | |
| the constant of integration |
About this formula
- FieldMathematics
- TopicIntegral calculus
- LevelHigh school
- Also calledantiderivative of a power, integration power rule, integral of power function, reverse power rule, integrate x to the n
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