5.3 The Fundamental Theorem of Calculus/10
< 5.3 The Fundamental Theorem of Calculus
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Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\begin{aligned}g(r)=\int _{0}^{r}{\sqrt {x^{2}+4}}\,dx\\{\frac {d}{dr}}(g(r))={\frac {d}{dr}}\left[\int _{0}^{r}{\sqrt {x^{2}+4}}\,dx\right]=1\cdot {\sqrt {(r)^{2}+4}}-0\cdot {\sqrt {(0)^{2}+4}}={\sqrt {r^{2}+4}}\end{aligned}}}