$\int_0^a\left(x\ln\left(x\right)\right)dx$

$\lim_{x\to\infty}\left(\left(x\frac{1}{3x}-x\right)\cdot a\right)$

$12x^2-9x=0$

$\frac{d}{du}\left(\frac{\left(u+1\right)\left(u+3\right)}{\left(u^3+1\right)\left(u^2+3\right)}\right)^{\frac{1}{3}}$

$e^{3t}\frac{ds}{dt}=50s^2$

$\left(a^2+b\right)\left(a^2-7b\right)$

$\frac{a^3-8}{a-2}$