5.3 The Fundamental Theorem of Calculus/33

$\int _{1}^{2}\left(1+2y^{2}\right)dy$ =Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \int _{1}^{2}\left(4y^{2}+4y+1\right)dy} =Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\frac {4y^{3}}{3}}+{\frac {4y^{2}}{2}}{\bigg |}_{1}^{2}} =Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle 2+{\frac {32}{3}}+{\frac {16}{2}}-left(1+{\frac {4}{3}}+{\frac {4}{2}}right)}