Find the anti-derivative for x41+x10dx\displaystyle \int\frac{{{x}^{{4}}}}{{{1}+{x}^{{10}}}}{\left.{d}{x}\right.}=  

Evaluate the definite integral 11x41+x10dx\displaystyle {\int_{{-{1}}}^{{{1}}}}\frac{{{x}^{{4}}}}{{{1}+{x}^{{10}}}}{\left.{d}{x}\right.}=