$\left(x^2+1\right)y^{'\:}+3xy=6x$
$2\ln\left(3e^{2x}\right)+3\ln\left(2e^{4x}\right)$
$\lim_{x\to\infty}\left(1+\sin\left(x\pi\right)\right)$
$-3u+7=7-3u$
$\frac{dy}{dx}=e^{3x+2y}\:,\:y\left(0\right)=0$
$\int\left(x\right)^2\sqrt[3]{4-x}dx$
$\int e^{4x-9}dx$
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