Problem Integrate $\displaystyle \int \dfrac{dx}{\sqrt[7]{x^2}}$.
Solution
$= \displaystyle \int \dfrac{dx}{x^{2/7}}$
$= \displaystyle \int x^{-2/7} \, dx$
$= \dfrac{x^{5/7}}{5/7} + C$
$= \frac{7}{5}x^{5/7} + C$
$= \frac{7}{5}\sqrt[7]{x^5} + C$ answer
Follow @iMATHalino
MATHalino