\mathbf{\int_{0}^{1}\frac{1}{(1+x^{2011}).\sqrt[2011]{(1+x^{2011})}}dx}$
Ans ) 1/2
is it
\frac{1}{2^{\frac{1}{2011}}}
Yes thephysics.
$\textbf{Put $\mathbf{2011=n}$,Then Integral Convert into }$\\\\ \mathbf{=\int_{0}^{1}\frac{1}{(1+x^n).\sqrt[n]{1+x^n}}dx}$
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