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

$\lim_{x\to\frac{\pi}{4}}\left(\frac{1-\sin^2\left(x\right)}{\cos\left(x\right)}\right)$

$10x-12x-7x-3x-x$

$\int\left(\frac{\left(x+9\right)^2}{x^4}\right)dx$

$\frac{dy}{dx}\left(\ln\left(2x^2+2x-2\right)\right)$

$3x^3+9x^2-54x$

$\lim_{x\to-2}\left(\frac{x^2-4}{x}\right)$