Integral of $$$x^{9}$$$

The calculator will find the integral/antiderivative of $$$x^{9}$$$, with steps shown.

Find $$$\int x^{9}\, dx$$$.

Apply the power rule $$$\int x^{n}\, dx = \frac{x^{n + 1}}{n + 1}$$$ $$$\left(n \neq -1 \right)$$$ with $$$n=9$$$:

$${\color{red}{\int{x^{9} d x}}}={\color{red}{\frac{x^{1 + 9}}{1 + 9}}}={\color{red}{\left(\frac{x^{10}}{10}\right)}}$$

Therefore,

$$\int{x^{9} d x} = \frac{x^{10}}{10}$$

Add the constant of integration:

$$\int{x^{9} d x} = \frac{x^{10}}{10}+C$$

$$$\int x^{9}\, dx = \frac{x^{10}}{10} + C$$$A

Please try a new game Rotatly