5.5 The Substitution Rule/7

Failed to parse (unknown function "\xsin"): {\displaystyle \int\xsin{(x^{2})dx }

${\begin{aligned}u&=x^{2}\\[2ex]du&=2xdx\\[2ex]{\frac {1}{2}}du&=dx\\[2ex]\end{aligned}}$

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\xsin{x^{2}}dx &=\frac{1}{2}\int\sin{u}du \\[2ex] &= -\frac{1}{2}cos{u}+C &= -\frac{1}{2}cos{x^{2}}+C \end{align} }