7.1 Integration By Parts/53

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 } 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 &= -0.4x \\[2ex] du &= dx \\[2ex] 2r\cdot dr &= du \\[2ex] \end{align} }