$\lim_{x\to0}\left[\frac{1}{8e^x}-\frac{1}{8x}\right]$

$\int_{-3}^3\left(\frac{x^2-6}{x^2-12x-5}\right)dx$

$8-10\cdot\left(-4\right)$

$\int\left(\frac{\left(ln\left(3x\right)\right)^3}{4x}\right)dx$

$4y^2-72y+81$

$\frac{dy}{dx}\left(\left(2x^2\right)sin\left(4x\right)\right)$

$\frac{3x\cdot\:\:tan\left(x\right)}{sin\left(x\right)}$