$y\frac{dy}{dx}=e^{\left(2x-y\right)}$
$\int\frac{cos\left(x\right)}{3sin^2\left(x\right)+7sinx}dx$
$\frac{cos2x-sin2x+1}{sinx-cosx}$
$\frac{5x^3-2x+6}{x-4}$
$\left(2x\right)^2\cdot cosx$
$\lim_{x\to1}\left(x^a-1\right)$
$\frac{d}{dx}\left(e^xcosy=2y^2-1\right)$
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