Integral of $$$x^{628}$$$

The calculator will find the integral/antiderivative of $$$x^{628}$$$, with steps shown.

Find $$$\int x^{628}\, dx$$$.

Apply the power rule $$$\int x^{n}\, dx = \frac{x^{n + 1}}{n + 1}$$$ $$$\left(n \neq -1 \right)$$$ with $$$n=628$$$:

$${\color{red}{\int{x^{628} d x}}}={\color{red}{\frac{x^{1 + 628}}{1 + 628}}}={\color{red}{\left(\frac{x^{629}}{629}\right)}}$$

Therefore,

$$\int{x^{628} d x} = \frac{x^{629}}{629}$$

Add the constant of integration:

$$\int{x^{628} d x} = \frac{x^{629}}{629}+C$$

$$$\int x^{628}\, dx = \frac{x^{629}}{629} + C$$$A

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