5.4 Indefinite Integrals and the Net Change Theorem/25

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \begin{align} \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{align} }