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

$\int_0^{\infty}\left(\frac{5}{\sqrt{e^x}}\right)dx$

$\lim_{x\to0}\left(\frac{\sqrt{\left(1-cos\left(x^2\right)\right)}}{1-cos\left(x\right)}\right)$

$\log\:_a\left(\frac{ab^3}{\sqrt{cd^3}}\right)$

$\lim_{x\to-3.5}\frac{\tan\left(x+3\right)}{x+3}$

$2a^2b-\frac{3}{2}-a^2b-1$