$\int_{\frac{\pi}{2}}^{\pi}\left(cos^4x\right)dx$
$xy^{2\:}=\:4e^{3x}.\:y\:-\:2x^2y$
$\int_0^{\infty}\left(\frac{\left(-2\right)x}{x^2+1}\right)dx$
$6x^2+4x+3$
$2y'-4xy=y\:$
$\left(g^8\right)^3$
$\frac{d}{dx}\left(y=\left(\cos\left(x\right)^{\tan\left(y\right)}\right)\right)$
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