$\int\frac{1}{\left(x-4\right)^2\left(2x+1\right)^2}dx$
$\int e^x\sqrt{7+e^x}dx$
$\log_{c^7}\left(\frac{x^9}{y^7z^3}\right)$
$\int\frac{-\left(4x+4\right)}{x^3-4x}dx$
$\frac{dy}{dx}+e^xy=1,y\left(0\right)=1$
$a+6a+3$
$l\frac{dy}{dx}=v-ri$
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