Integral of $$$x^{8}$$$

The calculator will find the integral/antiderivative of $$$x^{8}$$$, with steps shown.

Find $$$\int x^{8}\, dx$$$.

Apply the power rule $$$\int x^{n}\, dx = \frac{x^{n + 1}}{n + 1}$$$ $$$\left(n \neq -1 \right)$$$ with $$$n=8$$$:

$${\color{red}{\int{x^{8} d x}}}={\color{red}{\frac{x^{1 + 8}}{1 + 8}}}={\color{red}{\left(\frac{x^{9}}{9}\right)}}$$

Therefore,

$$\int{x^{8} d x} = \frac{x^{9}}{9}$$

Add the constant of integration:

$$\int{x^{8} d x} = \frac{x^{9}}{9}+C$$

$$$\int x^{8}\, dx = \frac{x^{9}}{9} + C$$$A