$\int_{-2}^4\left(\left(x\left(x+3\right)\right)-\left(4\right)\right)dx$

$\log\left(x-1\right)+\log\left(x+1\right)=2\log\left(x+2\right)$

$\int_{\frac{1}{2}}^{\frac{e}{2}}\left(9x^2\ln\left(2x\right)\right)dx$

$5sin^2x+3\sin\left(x\right)-2$

$2y\frac{dy}{dx}\:=\:x\left(x^2-16\right)^{\frac{1}{6}}$

$x^3-5x^2+6$

$36x^2+42x+16$