I am searching for a question, but I am unable to find it over here. The question is something like this:

Prove that $$\int\limits_{0}^{1} (1-x^{7})^{1/5} - \int\limits_{0}^{1} (1-x^{5})^{1/7} \ dx =0$$

I am not exactly sure if this is the question, but certainly there is a question of this type.

• Here is another version with another excellent answer. May 12 '12 at 13:43