Question

Calcule a integral:

ʃ ³√x² dx

Answer 1

$\int{x^n}\, dx=\dfrac{x^{n+1}}{n+1}+C\\\\\int{\sqrt[3]{x^2}}\, dx=\int{x^{\frac23}}\, dx=\dfrac{x^{\frac23+1}}{\frac23+1}+C=\dfrac{x^{\frac53}}{\frac53}+C=\dfrac{3x^{\frac53}}{5}+C$