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Integral de $$$u^{\frac{11}{4}}$$$
Calculadora relacionada: Calculadora de integrales definidas e impropias
Tu entrada
Halla $$$\int u^{\frac{11}{4}}\, du$$$.
Solución
Aplica la regla de la potencia $$$\int u^{n}\, du = \frac{u^{n + 1}}{n + 1}$$$ $$$\left(n \neq -1 \right)$$$ con $$$n=\frac{11}{4}$$$:
$${\color{red}{\int{u^{\frac{11}{4}} d u}}}={\color{red}{\frac{u^{1 + \frac{11}{4}}}{1 + \frac{11}{4}}}}={\color{red}{\left(\frac{4 u^{\frac{15}{4}}}{15}\right)}}$$
Por lo tanto,
$$\int{u^{\frac{11}{4}} d u} = \frac{4 u^{\frac{15}{4}}}{15}$$
Añade la constante de integración:
$$\int{u^{\frac{11}{4}} d u} = \frac{4 u^{\frac{15}{4}}}{15}+C$$
Respuesta
$$$\int u^{\frac{11}{4}}\, du = \frac{4 u^{\frac{15}{4}}}{15} + C$$$A