$\lim_{x\to0}\left(\frac{3x^3+5x}{x^3}\right)$

$\frac{dy}{dx}=\frac{-2xy}{y^2-5x^2}$

$\lim_{x\to\infty}\left(\frac{x+\ln\left(x\right)}{x\cdot\ln\left(x\right)}\right)$

$\int\left(\frac{5x-26}{x^2-10x+24}\right)dx$

$\left|a\left(x\right)\cdot b\left(x\right)\right|-\left|b\left(x\right)c\left(x\right)\right|$

$\int\left(x\cos^3\left(x^2\right)+\sin\left(4x\right)\cos\left(5x\right)\right)dx$

$\frac{\left(12x^3+28x^2-7x-12\right)}{-2x-1}$