7.1 Integration By Parts/53: Difference between revisions
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\begin{align} | \begin{align} | ||
\underbrace{\int_{0}^{5}xe^{-0.4x}dx} | \underbrace{\int_{0}^{5}xe^{-0.4x}dx}_{ | ||
\begin{aligned} | \begin{aligned} | ||
| Line 12: | Line 12: | ||
u &= x & dv &= e^{-0.4x} dx \\[0.6ex] | u &= x & dv &= e^{-0.4x} dx \\[0.6ex] | ||
du &= dx & v &= \frac{5}{2}e^{-0.4x} | du &= dx & v &= \frac{5}{2}e^{-0.4x} | ||
\end{aligned} \\ [2ex] | \end{aligned}} \\ [2ex] | ||
\end{align} | \end{align} | ||
Revision as of 12:53, 13 December 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= xe^{-0.4x} ~~~ x=0,x=1}
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} \underbrace{\int_{0}^{5}xe^{-0.4x}dx}_{ \begin{aligned} u &= x & dv &= e^{-0.4x} dx \\[0.6ex] du &= dx & v &= \frac{5}{2}e^{-0.4x} \end{aligned}} \\ [2ex] \end{align} }
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 \left [ \frac{5}{2}e^{-0.4x} \right ]+\int_{5}^{0}\frac{5}{2}e^{-0.4x}dx }