Integral of $$$x^{351}$$$

The calculator will find the integral/antiderivative of $$$x^{351}$$$, with steps shown.

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Your Input

Find $$$\int x^{351}\, dx$$$.

Solution

Apply the power rule $$$\int x^{n}\, dx = \frac{x^{n + 1}}{n + 1}$$$ $$$\left(n \neq -1 \right)$$$ with $$$n=351$$$:

$${\color{red}{\int{x^{351} d x}}}={\color{red}{\frac{x^{1 + 351}}{1 + 351}}}={\color{red}{\left(\frac{x^{352}}{352}\right)}}$$

Therefore,

$$\int{x^{351} d x} = \frac{x^{352}}{352}$$

Add the constant of integration:

$$\int{x^{351} d x} = \frac{x^{352}}{352}+C$$

Answer

$$$\int x^{351}\, dx = \frac{x^{352}}{352} + C$$$A


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