∫ 2 0 x ( 2 + x 5 ) d x {\displaystyle \int _{2}^{0}x(2+x^{5})dx} ∫ 2 0 ( 2 x + x 6 ) d x {\displaystyle \int _{2}^{0}(2x+x^{6})dx} = ( 2 x 2 1 + 1 + x 6 + 1 6 + 1 ) | 0 2 {\displaystyle =\left({\frac {2x^{2}}{1+1}}+{\frac {x^{6}+1}{6+1}}\right){\bigg |}_{0}^{2}}