Example 03 | The General Power Formula Problem Integrate $\displaystyle \int \dfrac{dx}{\sqrt[7]{x^2}}$. Solution Click here to expand or collapse this section $\displaystyle \int \dfrac{dx}{\sqrt[7]{x^2}}$ $= \displaystyle \int \dfrac{dx}{x^{2/7}}$ $= \displaystyle \int x^{-2/7} \, dx$ $= \dfrac{x^{5/7}}{5/7} + C$ $= \frac{7}{5}x^{5/7} + C$ $= \frac{7}{5}\sqrt[7]{x^5} + C$ answer Tags Integration Integration of Algebraic Function radicals Log in or register to post comments Book traversal links for Example 03 | The General Power Formula Example 02 | The General Power Formula Up Logarithmic Functions | Fundamental Integration Formulas
