$\frac{dy}{dx}=\frac{\left(4x^2+3xy+y^2\right)}{3x^2}$
$\frac{dy}{dx}=\:4y\left(4-y\right)$
$\int\frac{\:5x^2+12x-26}{x^2-6x+34}dx$
$\lim_{x\to\infty}\left(\frac{9x+7}{x^2-4}\right)$
$\int\sin13dx$
$32+20-9-13+4-5$
$\lim_{x\to0}\left(\frac{\left(2\cdot n+1\right)sin\left(x\right)-sin\left(\left(2\cdot n+1\right)x\right)}{4sin^3\left(x\right)}\right)$
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