$\lim_{x\to-8}\left(\frac{x-\sqrt[3]{x}}{2x+10}\right)$

$\int\left(\frac{5}{f^{\frac{x}{3}}}\right)dx$

$\frac{81-16x^4}{3+2x}$

$e^{3x}dx=dy$

$8a-5b-8a+5b$

$5y^{\left(4\right)}y^{\left(3\right)}-x^{\left(2\right)}y^{\left(3\right)}+8x^{\left(2\right)}y^{\left(3\right)}-12x^{\left(4\right)}y^{\left(3\right)}$

$\lim_{x\to0}\left(\frac{e^{3x}-e^{-3x}-6x}{x-sin\:x}\right)$