$\lim_{x\to\infty}\left(\frac{x^a}{e^{bx}}\right)$

$\log\left(3\right)\cdot x+\log\left(3\right)\cdot y$

$\frac{dy}{dx}=\frac{\cos^2x}{y^2}$

$\int\frac{x^3-x^2}{3x^4-4x^3}dx$

$\left(1.5+3.2u\right)\left(2.5+3.2u\right)$

$\lim_{x\to\infty}\left(\frac{sin\left(3x\right)}{5x}\right)$

$\left(y-15x+x^2+3y^2\right)-\left(8y+3x^2-10x+25y^2-2\right)$