$\lim_{x\to\infty}\left(\frac{3x+2}{7x-1}\right)^{x-2}$

$\frac{dz}{dx}\:x^2-2yz^2$

$\int\left(\frac{1-\sin^2x}{\cos^2x}\right)dx$

$2\log\left(x\right)-1=10\log\left(x\right)+3$

$\int\frac{2x-3}{x^3+6x^2}dx$

$\frac{cos\left(t\right)-1}{sin\left(t\right)}+\frac{sin\left(t\right)}{cos\left(t\right)+1}$

$\frac{1}{1+\tan\left(x\right)}=1$