[tex]\int ( \:11x\:\cdot \sqrt[4]{3} ) dx => 11\cdot \:3^{\frac{1}{4}}\cdot \int \:xdx \\\boxed{\int x^adx=\frac{x^{a+1}}{a+1}}\\\\=>11\cdot \:3^{\frac{1}{4}}\cdot \frac{x^{1+1}}{1+1} \\=> \boxed{\frac{11\cdot \:3^{\frac{1}{4}}x^2}{2}+C}\\\\\\Reamintire: \boxed{\int adx=ax} => \int \sqrt[4]{3} => \int \:3^{\frac{1}{4}}dx => 3^{\frac{1}{4}}x+C[/tex]
