Question

Calcule a integral.

$\int\limits \sqrt[3]{ x^{2} } dx$

Answer 1

Integral imediata:

$\boxed{\int \sqrt[3]{x^2} \ dx= \int x^{\frac{2}{3}} \ dx = \frac{3 \sqrt[3]{x^5} }{5}+C}$

Answer 2

$\color{red}{\int(\sqrt[3]{{x}^{2}})dx}\\=\color{orangered}{\frac{3}{5}{x}^{\frac{5}{3}}+C}\color{green}{\checkmark}$