6.2 Volumes/3

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 y=\frac{1}{x}, x = 1, x = 2, y = 0; \text{about the x-axis} }

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} \pi\int_1^2\left[\left(\frac{1}{x}\right)^2\right]dx & = \pi\int_1^2\left[\left(\frac{1}{x^2}\right)\right]dx \\[2ex] &= \pi\left[-\frac{1}{x}\right]\Bigg|_1^2\\[2ex] &= \pi\left[\left(-\frac{1}{\left(2\right)}\right)-\left(-\frac{1}{\left(1\right)}\right)\right]\Bigg|_1^2\\[2ex] &= \pi\left[-\frac{1}{2}+1\right]\Bigg|_1^2\\[2ex]= \pi\left[\frac{1}{2}\right] &= \frac{\pi}{2} \end{align} }