$f\left(x\right)=\frac{x^2+3x+5}{x^2+3x-4}$
$\frac{d}{dx}\left(x^2+6x\right)^{x^2+7}$
$\int\frac{\sin3x}{1-\cos\left(3x\right)}dx$
$\lim_{x\to\infty}\frac{4-5x^2}{\sqrt{x^6+5}}$
$8x^3-64y^9$
$\frac{\left(3x+2\right)^2}{\left(2x-1\right)}$
$\int t^2\left(t^3-4\right)^2\:dt$
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