$\sin\left(2x\right)^2-\sin\left(2x\right)-2$

$4325-648.75$

$\frac{dy}{dx}=y\left(5-y\right)$

$\lim_{x\to\frac{x}{2}}\left(\frac{\sin\left(x+1\right)}{2}\right)$

$\int\frac{4t^2+3t}{t^3-t^2}dt$

$\lim_{x\to5}\left(5x^3-3x^2+2\right)$

$\int_{-\infty}^0\left(\frac{1}{5-3x}\right)dx$