$18+3.\left(8-12\right)-4.\left[5-3.\left(6+3-5.2\right)\right]$

$\frac{dx}{dy}=\frac{5y^3-2x}{y}$

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

$\left(\frac{1}{2}x+\frac{3}{4}\right)^4$

$\lim_{n\to\infty}\left(\frac{2\cdot2^{2n}\ln\left(2\right)}{3^u\ln\left(3\right)}\right)$

$3a\:+\:b\:-\:\left(2a\:+\:b\right)\:+\:\left(2a\:-\:b\right)\:-\:\left(a\:-\:b\right)$

$\int t^2e^{-12t}dt$