Yes thephysics.
$\textbf{Put $\mathbf{2011=n}$,Then Integral Convert into }$\\\\ \mathbf{=\int_{0}^{1}\frac{1}{(1+x^n).\sqrt[n]{1+x^n}}dx}$
\mathbf{\int_{0}^{1}\frac{1}{(1+x^{2011}).\sqrt[2011]{(1+x^{2011})}}dx}$
Yes thephysics.
$\textbf{Put $\mathbf{2011=n}$,Then Integral Convert into }$\\\\ \mathbf{=\int_{0}^{1}\frac{1}{(1+x^n).\sqrt[n]{1+x^n}}dx}$