$g\left(x\right)=\ln^2\left|\ln\left(\sin\left(2x^3+7x\right)\right)\right|$

$\lim_{x\to\infty}\left(\frac{ln\left(9x+4\right)}{ln\left(3x+8\right)+6}\right)$

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

$\int\left(xe^{3x^2-1}\right)dx$

$\int\frac{x+2}{\left(x+3\right)\left(x+4\right)\left(x+1\right)}dx$

$\int\frac{3x^5}{\sqrt{16-x^2}}dx$

$2x\:+4\:x-3$