$x=\sqrt{y-1}$
$\frac{6x^2+8x-2}{x+3}$
$2x^2+40x+150$
$\lim_{x\to\infty}\left(\frac{1}{xsin\left(\frac{1}{x}\right)}\right)$
$\int\frac{2x-2}{\left(2x^2-4x+3\right)}dx$
$x\cdot\frac{dy}{dx}-y=x^2e^x$
$\int\frac{x}{16+x^2}dx$
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