G ( x ) = x 3 , [ 1 , 8 ] = 1 8 − 1 ∗ ∫ 8 1 ( x 3 ) d x 1 7 ∗ [ x 3 3 ] 1 7 ∫ 1 8 1 3 3 1 7 ∫ 1 8 1 3 1 8 = 45 28 {\displaystyle G(x)={\sqrt[{3}]{x}},[1,8]={\frac {1}{8-1}}*\int _{8}^{1}({\sqrt[{3}]{x}})dx{\frac {1}{7}}*[{\frac {\sqrt[{3}]{x}}{3}}]{\frac {1}{7}}\int _{1}^{8}{\frac {\sqrt[{3}]{1}}{3}}{\frac {1}{7}}\int _{1}^{8}{\frac {\sqrt[{3}]{1}}{1^{8}}}={\frac {45}{28}}}
![{\displaystyle G(x)={\sqrt[{3}]{x}},[1,8]={\frac {1}{8-1}}*\int _{8}^{1}({\sqrt[{3}]{x}})dx{\frac {1}{7}}*[{\frac {\sqrt[{3}]{x}}{3}}]{\frac {1}{7}}\int _{1}^{8}{\frac {\sqrt[{3}]{1}}{3}}{\frac {1}{7}}\int _{1}^{8}{\frac {\sqrt[{3}]{1}}{1^{8}}}={\frac {45}{28}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/a1373d35986a5778e6c1915a323b7f6c2ec2015e)