5.4 Indefinite Integrals and the Net Change Theorem/25: Difference between revisions
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= {3u^3+3u^2+u}\bigg|_{-2}^{2} \\[2ex] | = {3u^3+3u^2+u}\bigg|_{-2}^{2} \\[2ex] | ||
= {3\cdot 2^3 + \cdot 2^2 +2 - 3\cdot -2^3 + 3 \cdot-2^2 -2} \\[2ex] | &= {3\cdot 2^3 + \cdot 2^2 +2 - 3\cdot -2^3 + 3 \cdot-2^2 -2} \\[2ex] | ||
= {52} | &= {52} | ||
\end{align} | \end{align} | ||
</math> | </math> | ||
Revision as of 17:40, 7 September 2022
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 {3u^2+6u+1} {du} \\[2ex] = {3u^3+3u^2+u}\bigg|_{-2}^{2} \\[2ex] &= {3\cdot 2^3 + \cdot 2^2 +2 - 3\cdot -2^3 + 3 \cdot-2^2 -2} \\[2ex] &= {52} \end{align} }