User:ELLIOTTCABLE/math test

$\left({\cfrac {foo+bar}{2}}\right)\times gaz+5$

3. $\int x^{2}{\sqrt {x^{3}+1}}\ dx$ $u=x^{3}+1$

$\int x^{2}{\sqrt {u}}\ dx$

${\frac {du}{dx}}=3x^{2}$

$du=3x^{2}\ dx$

${\frac {1}{3x^{2}}}du=dx$

$\int x^{2}{\sqrt {u}}\ {\frac {1}{3x^{2}}}du$

$\int {\frac {1}{3}}{\sqrt {u}}\ du$

$\int {\frac {1}{3}}u^{1/2}du$

${\frac {1}{3}}\int u^{1/2}du$

${\frac {1}{3}}{\frac {u^{\frac {3}{2}}}{\frac {3}{2}}}$

${\frac {1}{3}}{\frac {2}{3}}u^{\frac {3}{2}}$

${\frac {2}{9}}u^{\frac {3}{2}}$

${\frac {2}{9}}(x^{3}+1)^{\frac {3}{2}}$

${\frac {2}{9}}{\sqrt {(x^{3}+1)^{3}}}$