5.3 The Fundamental Theorem of Calculus/10

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} 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{align} }