7.1 Integration By Parts/53: Difference between revisions
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<math>y= xe^{-0.4x} ~~~ x=0,x=1</math> | <math>y= xe^{-0.4x} ~~~ x=0,x=1</math> | ||
<math> \underbrace{\int_{0}^{5}xe^{-0.4x}dx} </math> | <math> \underbrace{\int_{0}^{5}xe^{-0.4x}dx}_ { </math> | ||
<math> | <math> | ||
\begin{ | \begin{aligned} | ||
u &= x \quad dv= e^{-0.4x} dx \\[ | u &= x \quad dv= e^{-0.4x} dx \\[0.6ex] | ||
du &= dx \qquad v= \frac{5}{2}e^{-0.4x} \\[2ex] | du &= dx \qquad v= \frac{5}{2}e^{-0.4x} | ||
\end{aligned} \\[2ex] | |||
</math> | </math> | ||
Revision as of 12:47, 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 \underbrace{\int_{0}^{5}xe^{-0.4x}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{aligned} u &= x \quad dv= e^{-0.4x} dx \\[0.6ex] du &= dx \qquad v= \frac{5}{2}e^{-0.4x} \end{aligned} \\[2ex] }
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 }