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Integral de $$$x$$$
Calculadora relacionada: Calculadora de integrais definidas e impróprias
Sua entrada
Encontre $$$\int x\, dx$$$.
Solução
Apply the power rule $$$\int x^{n}\, dx = \frac{x^{n + 1}}{n + 1}$$$ $$$\left(n \neq -1 \right)$$$ with $$$n=1$$$:
$${\color{red}{\int{x d x}}}={\color{red}{\frac{x^{1 + 1}}{1 + 1}}}={\color{red}{\left(\frac{x^{2}}{2}\right)}}$$
Therefore,
$$\int{x d x} = \frac{x^{2}}{2}$$
Add the constant of integration:
$$\int{x d x} = \frac{x^{2}}{2}+C$$
Answer: $$$\int{x d x}=\frac{x^{2}}{2}+C$$$