$\lim_{x\to0}\left(\frac{x^4}{1-cos\left(x\right)}\right)$

$xy^{1\:}=4y$

$\int6x^5\left(x^6-5\right)^4dx$

$\int_{-1}^{-8}\left(\frac{x-x^2}{2\sqrt[3]{x}}\right)dx$

$\left(\left(\frac{1-cos2x}{2}\right)\left(\frac{1+2cos2x+cos^22x}{4}\right)\right)^{-1}$

$\left(\frac{1}{3}x+3\right)^5$

$-1.25x^2+4x-1$