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 (syntax error): {\displaystyle \underbrace{\int_{0}^{5}xe^{-0.4x}dx}_ { }
Failed to parse (syntax error): {\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] }
![{\displaystyle \left[{\frac {5}{2}}e^{-0.4x}\right]+\int _{5}^{0}{\frac {5}{2}}e^{-0.4x}dx}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/4afefe06edf9bd3affd7c306ac9be17807450731)