5.4 Indefinite Integrals and the Net Change Theorem/21
< 5.4 Indefinite Integrals and the Net Change Theorem
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Revision as of 19:24, 1 September 2022 by Kimberlyr70044@students.laalliance.org (talk | contribs)
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_{0}^{2}(6x^{2}-4x+5) dx &=\frac{6x^{2+1}}{2+1}-\frac{4x^{1+1}}{1+1}+{5x}\bigg|_{0}^{2}&=\frac{6x^{3}}{3}-\frac{4x^{2}}{2}+{5x}\bigg|_{0}^{2}=2x^{3}-2x^{2}+{5x}\bigg|_{0}^{2}&=[2(2)^{3}-2(2)^{2}+{5(2)}]-[2(0)^{3}-2(0)^{2}+{5(0)}]= 16-18+0 &=18\end{align}}