7.1 Integration By Parts/54: Difference between revisions
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<math> | <math> | ||
\begin{align} | \begin{align} | ||
u &= \ln(x) \quad dv | u &= \ln(x) \quad dv= 1 dx \\ | ||
du &= \frac{1}{x} dx \quad v | du &= \frac{1}{x} dx \quad v=x \\ | ||
\end{align} | \end{align} | ||
</math> | </math> | ||
Revision as of 02:51, 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 y=5\ln(x) , y=x\ln(x) }
![{\displaystyle {\begin{aligned}5\ln(x)&=x\ln(x)\\[1ex]&x=5\\[1ex]&x=1\\[1ex]5\ln(2)>2\ln(2)\end{aligned}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/cd1c3a218d1938f4fbde2e7b79218d92891c3f99)
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 \int_{1}^{5}\left(5\ln(x) -x\ln(x) \right)dx = \int_{1}^{5} \left(5\ln(x) \right)dx - \int_{1}^{5} \left(x\ln(x) \right)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 \int_{1}^{5} \left(5\ln(x) \right)dx = 5 \int_{1}^{5} \left(\ln(x) \right)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} u &= \ln(x) \quad dv= 1 dx \\ du &= \frac{1}{x} dx \quad v=x \\ \end{align} }