$\frac{1}{3}\left(2\ln\left(x+3\right)+\ln\left(x\right)-\ln\left(x^2-1\right)\right)$

$\frac{\left(x+y\right)^2-x^2}{\left(x+y\right)-x}$

$\left(8x^{3}-1\right)^{2}$

$\int\left(xtan^8\left(x^2\right)sec^2\left(x^2\right)\right)dx$

$\int\frac{ln\left(y\right)}{\sqrt{y}}dy$

$\frac{du}{dt}=2t+3$

$\left(\frac{x^{-2}y^3}{y^4}\right)^2$