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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.

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    $\begingroup$ Here is another version with another excellent answer. $\endgroup$ May 12 '12 at 13:43
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Here she is.

Why is $\int\limits_0^1 (1-x^7)^{1/5} - (1-x^5)^{1/7} dx=0$?

Use google instead of the built-in search engine.

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  • $\begingroup$ Thank you marvis. $\endgroup$
    – user9413
    May 13 '12 at 5:17

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