$\int_{-3}^{-1}\left(-4x\right)dx$

$log_{\frac{3}{4}\left(\frac{9}{16}\right)}=\frac{x}{2}$

$\int\left(x\ln\left(5-x\right)\right)dx$

$\left(a+b\right)^2\left(a-b^2\right)$

$\frac{dw}{dt}=\frac{-\left(4-t\right)w}{3+t}$

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

$\frac{d}{dx}\left(3x+1\right)\sqrt{8x-1}$