Question Number 156927 by MathSh last updated on 17/Oct/21
$$\mathrm{Find}: \\ $$$$\boldsymbol{\Omega}\:=\underset{\boldsymbol{\mathrm{n}}\rightarrow\infty} {\mathrm{lim}}\underset{\:\mathrm{0}} {\overset{\:\mathrm{5}} {\int}}\:\frac{\left(\mathrm{1}\:-\:\mathrm{x}\right)\centerdot\mathrm{x}^{\boldsymbol{\mathrm{n}}+\mathrm{4}} }{\mathrm{1}\:+\:\mathrm{x}^{\mathrm{3}\boldsymbol{\mathrm{n}}} }\:\mathrm{dx}\:=\:? \\ $$