$\int\frac{tan\left(x\right)}{tan\left(2x\right)}dx$
$2\sin\left(x\right)^2=1$
$\int21z^3e^zdz$
$x^2\frac{dy}{dx}=4x^2+7xy+2y^2$
$\lim_{x\to6}\left(\frac{x^2-6x}{x^2+7x+6}\right)$
$\int x^{-\frac{3}{7}}dx$
$-4.2-0.5\:+\:8$
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