5.5 The Substitution Rule/7

Failed to parse (syntax error): {\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 \\[2ex] &= -\frac{1}{2}cos{(x^{2})}+C \end{align} }