$\frac{x^2-9x+15}{x^2-5}$

$\lim_{x\to\infty}\left(\frac{18x}{sin\left(3x\right)}\right)$

$\int\frac{\left(6x+2\right)}{2}dx$

$\frac{\left(2y^2+1\right)dy}{dx}=3x^2y$

$\int\frac{x^2-6x+30}{x^2-10x+24}dx$

$\frac{dy}{dx}e^{\left(8x\right)}$

$\int_0^{1000}\left(-0.8e^{-0.02x}\right)dx$