7.1 Integration By Parts/28: Difference between revisions
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<math> \int_{1}^{2}\frac{(\ln{x}^2 | <math> \int_{1}^{2}\frac{(\ln{x})^2}{x^3} </math> | ||
<math> u = \ln{x} \qquad dv = \frac{1}{x^3} </math> <br><br> | <math> u = \ln{x} \qquad dv = \frac{1}{x^3} </math> <br><br> | ||
Revision as of 22:04, 16 December 2022
Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \int _{1}^{2}{\frac {(\ln {x})^{2}}{x^{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 u = \ln{x} \qquad dv = \frac{1}{x^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 du = \frac{1}{x} \qquad v = -\frac{1}{2x^2} }
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_{1}^{2}\frac{\ln{x}^2}{x^3} & = -\frac{\ln{(x)}}{2x^2} - \int-\frac{1}{2x^3} \\[2ex] & = -\frac{\ln{(x)}}{2x^2} - \frac{1}{2}\int\frac{1}{x^3} \\[2ex] & = \end{align} }