Homework Statement
\int_0^1 \sqrt[3]{1-x^7}-\sqrt[7]{1-x^3} dx
Homework Equations
None
The Attempt at a Solution
I tried using the substitutions u=\sqrt[3]{1-x^7} and u=\sqrt[7]{1-x^3} to no avail and I couldn't think of any more substitutions. Any suggestions?