$\int\sqrt{\cot x}\csc^2x\:dx$

$\frac{x^4-4x^3+9x^2-17x+12}{x^3-4x^2+4x}$

$2x\left(\frac{3}{2}\right)+\frac{5}{2}x\left(\frac{1}{2}\right)-\frac{4}{3}x\left(\frac{3}{2}\right)$

$-25c^240c+16$

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

$-2^4x\:-2^3x\left(2^2\right)^3$

$3x\frac{dy}{dx}+y=12x$