5.4 Indefinite Integrals and the Net Change Theorem/25

Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\begin{aligned}\int _{-2}^{2}({3u+1})^{2}du&=\int (9u^{2}+6u+1)du\\[2ex]&=\left(3u^{3}+3u^{2}+u\right){\bigg |}_{-2}^{2}\\[2ex]&=[3(2)^{3}+3(2)^{2}+2]-[3(-2)^{3}+3(-2)^{2}-2]\\[2ex]&={52}\\[2ex]\end{aligned}}}