$\lim_{x\to\infty}\:\left(\frac{1\:+\:\sqrt{x}}{2x\:-\:3}\right)$

$4x^2-33x+8$

$\lim_{x\to0}\left(\frac{\left(2e^{2x}-2\right)^3}{3e^2x^2}\right)$

$\int-y^4\sqrt{3y^5-5}dy$

$\frac{x^2-x+3}{x+3}$

$\lim_{y\to0}\left(x+e^{\frac{x}{15}}\right)^{\frac{x}{15}}$

$\int\left(\:\frac{e^{\sqrt{x}}}{\sqrt{x}}\right)dx$