$\int\:\frac{2t^2}{t^2+1}dt$

$\frac{dy}{dx}=-\left(y-2\right)-\frac{1}{4}\left(y-2\right)^2$

$\sin\left(3x\right)=\frac{1}{\sqrt{2}}$

$y'-4y=e^{5x}$

$\sin\left(\frac{3\pi}{2}-m\right)$

$\log_{100}\left(1+x\right)=\log\left(4x\right)-\log\left(\sqrt{8}\right)$

$\log\left(x\right)+\log\left(x^2-4\right)-\log\left(15\right)-\log\left(x+2\right)$