5.5 The Substitution Rule/13

$\int {\frac {dx}{5-3x}}{\text{,}}\quad u=5-3x$

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 &=5-3x \\[2ex] du &=-3dx \\[2ex] -\frac{1}{3}du &=dx \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 \begin{align} \int \frac{dx}{5-3x} &= -\frac{1}{3}\int \left(\frac{1}{u}\right)du \\[2ex] &=-\frac{1}{3}\ln{x}du \end{align} }