5.5 The Substitution Rule/13

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

${\begin{aligned}u&=5-3x\\[2ex]du&=-3dx\\[2ex]-{\frac {1}{3}}du&=dx\end{aligned}}$

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 \(frac{1}{u})du \end{align} }