$\int19x\left(lnx\right)dx$

$9x^2+12x=45$

$\frac{\sin^3\left(x\right)+\cos^3\left(x\right)}{\sin\left(x\right)+\cos\left(x\right)}=\frac{7}{8}$

$\lim_{x\to-2}\left(\frac{y^2-4}{y^2+4y+4}\right)$

$\left(y^2-y\right)\left(y-1\right)$

$\lim_{x\to-1}\left(\frac{e^x-\left(1-x\right)}{x}\right)$

$\left(2x-3\right)^2=\left(x+5\right)^2-x-6$