$\lim_{x\to0}\left(16x+cosx\right)^{\frac{1}{x}}$

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

$\int\frac{15}{\left(x-3\right)\left(x+4\right)}dx$

$\frac{20x^3-18x^2+4}{4x-2}$

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

$\int\left(3-x\right)^8\left(x+3\right)^2dx$

$y'-2y-xy=0$