Integral of $$$x^{2}$$$

The calculator will find the integral/antiderivative of $$$x^{2}$$$, with steps shown.

Related calculator: Definite and Improper Integral Calculator

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Find $$$\int x^{2}\, dx$$$.


Apply the power rule $$$\int x^{n}\, dx = \frac{x^{n + 1}}{n + 1}$$$ $$$\left(n \neq -1 \right)$$$ with $$$n=2$$$:

$$\color{red}{\int{x^{2} d x}}=\color{red}{\frac{x^{1 + 2}}{1 + 2}}=\color{red}{\left(\frac{x^{3}}{3}\right)}$$


$$\int{x^{2} d x} = \frac{x^{3}}{3}$$

Add the constant of integration:

$$\int{x^{2} d x} = \frac{x^{3}}{3}+C$$

Answer: $$$\int{x^{2} d x}=\frac{x^{3}}{3}+C$$$