$\int_0^{\frac{3}{2}}\left(\frac{1}{2-3x}\right)dx$

$\int_0^{0.5}x\cos\left(\pi x\right)dx$

$\lim_{x\to\frac{\pi}{2}}\left(\frac{tanx}{arctan\left(cosx\right)}\right)$

$2x^4y^{-8}z^{-1}$

$-14+1+-2$

$\left(-x^3+\frac{x^2}{2}-\frac{4}{3}x-8\right)+\left(\frac{2}{5}x^3-\frac{1}{2}x+5x^2\right)$

$\left(\frac{u^{-2}}{u^{-5}}\right)^{\frac{1}{12}}$