Integral of $$$x^{7}$$$

The calculator will find the integral/antiderivative of $$$x^{7}$$$, with steps shown.

Find $$$\int x^{7}\, dx$$$.

Apply the power rule $$$\int x^{n}\, dx = \frac{x^{n + 1}}{n + 1}$$$ $$$\left(n \neq -1 \right)$$$ with $$$n=7$$$:

$${\color{red}{\int{x^{7} d x}}}={\color{red}{\frac{x^{1 + 7}}{1 + 7}}}={\color{red}{\left(\frac{x^{8}}{8}\right)}}$$

Therefore,

$$\int{x^{7} d x} = \frac{x^{8}}{8}$$

Add the constant of integration:

$$\int{x^{7} d x} = \frac{x^{8}}{8}+C$$

$$$\int x^{7}\, dx = \frac{x^{8}}{8} + C$$$A

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