5.3 The Fundamental Theorem of Calculus/8
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Revision as of 20:28, 23 August 2022 by Dvaezazizi@laalliance.org (talk | contribs)
Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\begin{aligned}g(x)=\int _{3}^{x}e^{t^{2}-t}dt{\frac {d}{dx}}\left[g(x)\right]={\frac {d}{dx}}\left[\int _{3}^{x}e^{t^{2}-t}dt\right]=1e^{x^{2}-x}-0e^{3^{2}-3}=e^{x^{2}-x}{\text{Therefore, }}g'(x)=e^{x^{2}-x}\end{aligned}}}