5.5 The Substitution Rule/21

$\int {\frac {\cos {({\sqrt {t}})}}{\sqrt {t}}}dt=2\int \cos {u}du=2\sin {u}+c=2\sin({\sqrt {u}})+c$

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 &= \sqrt{u} \\[2ex] du &= \frac{1}{2}\ \frac{1}{\sqrt{t}} dx \\[2ex] 2du &= \frac{1}{\sqrt{t}} dx \end{align} }