$\log\left(u\cdot v\right)$

$2a\cdot2a+3d$

$\int\left(e^{3x}\left(6+e^{3x}\right)^6\right)dx$

$\int\left(\frac{\left(\sqrt{2}+e^{2x}\right)^2}{e^{2x}}\right)dx$

$\lim_{x\to5}\left(\frac{\sqrt{4-x}-3}{x+5}\right)$

$\int12xln\left|7x\right|dx$

$1^3+\:3\left(1\right)^2\:-\:4\left(1\right)\:-12\:$