Question

o calculo da integral dx/raiz quinta de x no limite de 0 a 5

Answer 1

$\int\limits^5_0 {\frac{1}{\sqrt[5]{x}}} \, dx = \int\limits^5_0 {\frac{1}{x^{\frac15}}} \, dx = \int\limits^5_0 {x^{-\frac15}} \, dx =\frac{5x^{\frac45}}{4}|^5_0=\frac{5(5)^{\frac45}}{4}-\frac{5(0)^{\frac45}}{4}=\boxed{\frac{5\sqrt[5]{625}}{4}}$