$\frac{1}{sin\left(x\right)}=cosec\left(x\right)$
$y=\frac{x^2+x+1}{x-2}$
$cot\:a\left(sec\:a-1\right)\left(sec\:a+1\right)$
$\frac{dy}{dx}+7y=5x$
$\lim_{x\to\infty}\left(nln\left(1+\frac{1}{n}\right)\right)$
$\frac{x^2}{x^2+1}=1$
$\int\:\frac{3x+1}{x^2+2x+5}\:dx$
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