Integral of $$$x$$$

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

Related calculator: Definite and Improper Integral Calculator

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Your Input

Find $$$\int x\, dx$$$.


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

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


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

Add the constant of integration:

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

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