$\lim_{x\to0}\left(\frac{\ln\left(1+x\right)-\sin\left(x\right)}{\sin\left(x\right)}\right)$

$\frac{dy}{dx}=24-6x-4y+xy$

$actor\left(27x^5-54x^4-18x^3+28x^2+15x+2\right)$

$\int\left(\frac{x}{\sqrt{4-49x^2}}\right)dx$

$f\left(x\right)=\:e^{-x}\cdot\left(x+2\right)$

$\int\frac{3x^2-8x-2}{\left(x+2\right)\left(x^2+9\right)}dx$

$5y+2x-3-y+5x+10$