$\frac{d}{dx}x^2y+xy^3=-3xy$

$\int\frac{5x^3+2x^2-12x-4}{x^2-4}dx$

$\lim_{x\to+\infty}\left(\frac{\ln\left(x\right)}{\sqrt[3]{x}}\right)$

$y=80-17\log_{10}\left(7\right)$

$\log x-\log2=1$

$\lim_{x\to\pi}\left(\frac{5+5cos\left(3x\right)}{sin\left(2x\right)}\right)$

$\int\cos\sqrt{u}\:du$