5.4 Indefinite Integrals and the Net Change Theorem/25

${\begin{aligned}\int _{-2}^{2}({3u+1})^{2}du&=\int (9u^{2}+6u+1)du\\[2ex]&=\left(3u^{3}+3u^{2}+u\right){\bigg |}_{-2}^{2}\\[2ex]&={3\cdot 2^{3}+3\cdot 2^{2}+2-3\cdot -2^{3}+3\cdot -2^{2}-2}\\[2ex]&={52}\\[2ex]\end{aligned}}$