7.1 Integration By Parts/51b: Difference between revisions
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<math> \text{Use exercise 47 to evaluate} \int(\ln{x})^3dx </math> <br><br> | <math> \text{Use exercise 47 to evaluate} \int(\ln{x})^3dx </math> <br><br> | ||
<math> \text{Exercise 47:} | <math> \text{Exercise 47:} x(\ln{x})^n-n\int(\ln{x})^{n-1}dx </math> <br><br> | ||
<math> | <math> | ||
Revision as of 17:39, 29 November 2022
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 \text{Use exercise 47 to evaluate} \int(\ln{x})^3dx }
Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\text{Exercise 47:}}x(\ln {x})^{n}-n\int (\ln {x})^{n-1}dx}
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\ln(x)^3dx = x\ln(x)^3 -3\int\ln(x)^2dx \end{align} }