Integral de $$$u^{2}$$$

A calculadora encontrará a integral/antiderivada de $$$u^{2}$$$, com os passos mostrados.

Encontre $$$\int u^{2}\, du$$$.

Aplique a regra da potência $$$\int u^{n}\, du = \frac{u^{n + 1}}{n + 1}$$$ $$$\left(n \neq -1 \right)$$$ com $$$n=2$$$:

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

Portanto,

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

Adicione a constante de integração:

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

$$$\int u^{2}\, du = \frac{u^{3}}{3} + C$$$A

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