$\lim_{x\to1}\left(\frac{x-3}{\sqrt{3}x-3}\right)$

$\left(xy+1\right)^2-\left(x+y\right)^2$

$\int\sqrt{x}\cdot\sqrt{8x^{\frac{3}{2}}+3}$

$x^2-8x=17$

$\int_1^x\left(\frac{\ln\left(x\right)}{x}\right)dx$

$\int\left(\frac{e^{2x}+1}{e^{2x}+1}\right)dx$

$\left(\frac{2}{3}x^2y+a\right)\left(\frac{3}{4}y^2+a\right)$