$2\tan^2x+\sec^2x=2$
$y'=\frac{y}{x}+5x$
$\left(2\sqrt{2}x^2+2\right)^2$
$\frac{4x^2y^9}{12x^2y^4}$
$3\sqrt{\sin v\:x\:\cos v}+c$
$\left(e^x+e^{-x}\right)\frac{dy}{dx}$
$\int\frac{x\:sin\:\left(x^2\right)}{\cos\left(x^2\right)+1}dx$
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